On entanglement entropy in non-Abelian lattice gauge theory and 3D quantum gravity View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-11

AUTHORS

Clement Delcamp, Bianca Dittrich, Aldo Riello

ABSTRACT

Entanglement entropy is a valuable tool for characterizing the correlation structure of quantum field theories. When applied to gauge theories, subtleties arise which prevent the factorization of the Hilbert space underlying the notion of entanglement entropy. Borrowing techniques from extended topological field theories, we introduce a new definition of entanglement entropy for both Abelian and non-Abelian gauge theories. Being based on the notion of excitations, it provides a completely relational way of defining regions. Therefore, it naturally applies to background independent theories, e.g. gravity, by circumventing the difficulty of specifying the position of the entangling surface. We relate our construction to earlier proposals and argue that it brings these closer to each other. In particular, it yields the non-Abelian analogue of the ‘magnetic centre choice’, as obtained through an extended-Hilbert-space method, but applied to the recently introduced fusion basis for 3D lattice gauge theories. We point out that the different definitions of entanglement entropy can be related to a choice of (squeezed) vacuum state. More... »

PAGES

102

References to SciGraph publications

  • 2007-11. Partial and complete observables for Hamiltonian constrained systems in GENERAL RELATIVITY AND GRAVITATION
  • 2015-12. Hilbert space structure in quantum gravity: an algebraic perspective in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-08. The Fock space of loopy spin networks for quantum gravity in GENERAL RELATIVITY AND GRAVITATION
  • 1998-11. Tensor Product Representations of the Quantum Double of a Compact Group in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1989-09. The operator algebra of orbifold models in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2016-09. Local subsystems in gauge theory and gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-01. Aspects of entanglement entropy for gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 1988-04. Quantum groups in JOURNAL OF SOVIET MATHEMATICS
  • 2008-05-07. Topological entanglement entropy in Chern-Simons theories and quantum Hall fluids in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-01. The algebra of observables in Gaußian normal spacetime coordinates in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep11(2016)102

    DOI

    http://dx.doi.org/10.1007/jhep11(2016)102

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1045810348


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "University of Waterloo", 
              "id": "https://www.grid.ac/institutes/grid.46078.3d", 
              "name": [
                "Perimeter Institute for Theoretical Physics, 31 Caroline Street North, N2L 2Y5, Waterloo, Ontario, Canada", 
                "Department of Physics & Astronomy and Guelph-Waterloo Physics Institute, University of Waterloo, 200 University Avenue West, N2L 3G1, Waterloo, Ontario, Canada"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Delcamp", 
            "givenName": "Clement", 
            "id": "sg:person.010153256660.98", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010153256660.98"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Perimeter Institute", 
              "id": "https://www.grid.ac/institutes/grid.420198.6", 
              "name": [
                "Perimeter Institute for Theoretical Physics, 31 Caroline Street North, N2L 2Y5, Waterloo, Ontario, Canada"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Dittrich", 
            "givenName": "Bianca", 
            "id": "sg:person.015257074653.42", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015257074653.42"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Perimeter Institute", 
              "id": "https://www.grid.ac/institutes/grid.420198.6", 
              "name": [
                "Perimeter Institute for Theoretical Physics, 31 Caroline Street North, N2L 2Y5, Waterloo, Ontario, Canada"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Riello", 
            "givenName": "Aldo", 
            "id": "sg:person.013030721413.26", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013030721413.26"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1088/0264-9381/24/18/001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000157763"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.85.085004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000531058"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.85.085004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000531058"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.2352860", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000589850"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2016)047", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000955439", 
              "https://doi.org/10.1007/jhep01(2016)047"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(92)90773-w", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001102863"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(92)90773-w", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001102863"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/31/7/075004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001305215"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/31/21/214003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001730352"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10714-016-2107-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002572189", 
              "https://doi.org/10.1007/s10714-016-2107-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10714-016-2107-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002572189", 
              "https://doi.org/10.1007/s10714-016-2107-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0920-5632(91)90123-v", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004364519"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0920-5632(91)90123-v", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004364519"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/10/8/022", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005492883"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/27/22/225007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006288069"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/27/22/225007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006288069"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002200050475", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007202385", 
              "https://doi.org/10.1007/s002200050475"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.77.104006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007403309"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.77.104006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007403309"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(90)90288-o", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009543381"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(90)90288-o", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009543381"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/32/48/313", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014375757"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/23/4/001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014678428"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/23/4/001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014678428"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.96.110404", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014714103"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.96.110404", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014714103"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0003-4916(02)00018-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015449553"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0003-4916(02)00018-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015449553"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/23/4/005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015739286"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/23/4/005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015739286"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.90.115119", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016060267"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.90.115119", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016060267"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.530684", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017183427"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/21/24/002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017569339"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.89.085012", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018303165"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.89.085012", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018303165"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.74.064018", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018826875"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.74.064018", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018826875"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/9/6/004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021706637"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.physletb.2003.08.043", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026400213"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.physletb.2003.08.043", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026400213"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2016)102", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026649379", 
              "https://doi.org/10.1007/jhep09(2016)102"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2016)102", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026649379", 
              "https://doi.org/10.1007/jhep09(2016)102"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/32/11/112001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027190825"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10714-007-0495-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028112377", 
              "https://doi.org/10.1007/s10714-007-0495-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01247086", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030891740", 
              "https://doi.org/10.1007/bf01247086"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/22/12/r01", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030906228"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/22/12/r01", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030906228"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2016)136", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031481810", 
              "https://doi.org/10.1007/jhep01(2016)136"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01238812", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032827895", 
              "https://doi.org/10.1007/bf01238812"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/42/50/504007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037519848"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/42/50/504007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037519848"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1367-2630/16/12/123041", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039201123"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/24/4/001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039814877"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2015)099", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044545129", 
              "https://doi.org/10.1007/jhep12(2015)099"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2015)099", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044545129", 
              "https://doi.org/10.1007/jhep12(2015)099"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/22/21/005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046895619"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/22/21/005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046895619"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.71.045110", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047264319"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.71.045110", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047264319"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/32/13/135016", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047589270"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2008/05/016", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047615916", 
              "https://doi.org/10.1088/1126-6708/2008/05/016"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/23/22/006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048377517"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.51.5600", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049725963"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.51.5600", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049725963"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.physletb.2008.10.032", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050176393"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1742-5468/2004/06/p06002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051859914"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.93.245140", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060650896"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.93.245140", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060650896"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.43.419", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060699313"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.43.419", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060699313"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.93.024030", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060711648"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.93.024030", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060711648"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.117.131602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060766371"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.117.131602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060766371"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.57.2244", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060794048"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.57.2244", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060794048"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.80.517", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060839663"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.80.517", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060839663"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.3842/sigma.2012.026", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071452231"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/atmp.2010.v14.n6.a3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072457318"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2016-11", 
        "datePublishedReg": "2016-11-01", 
        "description": "Entanglement entropy is a valuable tool for characterizing the correlation structure of quantum field theories. When applied to gauge theories, subtleties arise which prevent the factorization of the Hilbert space underlying the notion of entanglement entropy. Borrowing techniques from extended topological field theories, we introduce a new definition of entanglement entropy for both Abelian and non-Abelian gauge theories. Being based on the notion of excitations, it provides a completely relational way of defining regions. Therefore, it naturally applies to background independent theories, e.g. gravity, by circumventing the difficulty of specifying the position of the entangling surface. We relate our construction to earlier proposals and argue that it brings these closer to each other. In particular, it yields the non-Abelian analogue of the \u2018magnetic centre choice\u2019, as obtained through an extended-Hilbert-space method, but applied to the recently introduced fusion basis for 3D lattice gauge theories. We point out that the different definitions of entanglement entropy can be related to a choice of (squeezed) vacuum state.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/jhep11(2016)102", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1052482", 
            "issn": [
              "1126-6708", 
              "1029-8479"
            ], 
            "name": "Journal of High Energy Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "11", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2016"
          }
        ], 
        "name": "On entanglement entropy in non-Abelian lattice gauge theory and 3D quantum gravity", 
        "pagination": "102", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "da36b3b7ddfd236c4b3969cb914dfec993f92abf66dbb7d90cd66d916c7710a7"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/jhep11(2016)102"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1045810348"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/jhep11(2016)102", 
          "https://app.dimensions.ai/details/publication/pub.1045810348"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:10", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000367_0000000367/records_88247_00000000.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2FJHEP11%282016%29102"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/jhep11(2016)102'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/jhep11(2016)102'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep11(2016)102'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep11(2016)102'


     

    This table displays all metadata directly associated to this object as RDF triples.

    248 TRIPLES      21 PREDICATES      80 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/jhep11(2016)102 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N61200708d561424eb67c1e0d6640f92d
    4 schema:citation sg:pub.10.1007/bf01238812
    5 sg:pub.10.1007/bf01247086
    6 sg:pub.10.1007/jhep01(2016)047
    7 sg:pub.10.1007/jhep01(2016)136
    8 sg:pub.10.1007/jhep09(2016)102
    9 sg:pub.10.1007/jhep12(2015)099
    10 sg:pub.10.1007/s002200050475
    11 sg:pub.10.1007/s10714-007-0495-2
    12 sg:pub.10.1007/s10714-016-2107-5
    13 sg:pub.10.1088/1126-6708/2008/05/016
    14 https://doi.org/10.1016/0370-2693(92)90773-w
    15 https://doi.org/10.1016/0550-3213(90)90288-o
    16 https://doi.org/10.1016/0920-5632(91)90123-v
    17 https://doi.org/10.1016/j.physletb.2003.08.043
    18 https://doi.org/10.1016/j.physletb.2008.10.032
    19 https://doi.org/10.1016/s0003-4916(02)00018-0
    20 https://doi.org/10.1063/1.2352860
    21 https://doi.org/10.1063/1.530684
    22 https://doi.org/10.1088/0264-9381/10/8/022
    23 https://doi.org/10.1088/0264-9381/21/24/002
    24 https://doi.org/10.1088/0264-9381/22/12/r01
    25 https://doi.org/10.1088/0264-9381/22/21/005
    26 https://doi.org/10.1088/0264-9381/23/22/006
    27 https://doi.org/10.1088/0264-9381/23/4/001
    28 https://doi.org/10.1088/0264-9381/23/4/005
    29 https://doi.org/10.1088/0264-9381/24/18/001
    30 https://doi.org/10.1088/0264-9381/24/4/001
    31 https://doi.org/10.1088/0264-9381/27/22/225007
    32 https://doi.org/10.1088/0264-9381/31/21/214003
    33 https://doi.org/10.1088/0264-9381/31/7/075004
    34 https://doi.org/10.1088/0264-9381/32/11/112001
    35 https://doi.org/10.1088/0264-9381/32/13/135016
    36 https://doi.org/10.1088/0264-9381/9/6/004
    37 https://doi.org/10.1088/0305-4470/32/48/313
    38 https://doi.org/10.1088/1367-2630/16/12/123041
    39 https://doi.org/10.1088/1742-5468/2004/06/p06002
    40 https://doi.org/10.1088/1751-8113/42/50/504007
    41 https://doi.org/10.1103/physrevb.71.045110
    42 https://doi.org/10.1103/physrevb.90.115119
    43 https://doi.org/10.1103/physrevb.93.245140
    44 https://doi.org/10.1103/physrevd.43.419
    45 https://doi.org/10.1103/physrevd.51.5600
    46 https://doi.org/10.1103/physrevd.74.064018
    47 https://doi.org/10.1103/physrevd.77.104006
    48 https://doi.org/10.1103/physrevd.85.085004
    49 https://doi.org/10.1103/physrevd.89.085012
    50 https://doi.org/10.1103/physrevd.93.024030
    51 https://doi.org/10.1103/physrevlett.117.131602
    52 https://doi.org/10.1103/physrevlett.57.2244
    53 https://doi.org/10.1103/physrevlett.96.110404
    54 https://doi.org/10.1103/revmodphys.80.517
    55 https://doi.org/10.3842/sigma.2012.026
    56 https://doi.org/10.4310/atmp.2010.v14.n6.a3
    57 schema:datePublished 2016-11
    58 schema:datePublishedReg 2016-11-01
    59 schema:description Entanglement entropy is a valuable tool for characterizing the correlation structure of quantum field theories. When applied to gauge theories, subtleties arise which prevent the factorization of the Hilbert space underlying the notion of entanglement entropy. Borrowing techniques from extended topological field theories, we introduce a new definition of entanglement entropy for both Abelian and non-Abelian gauge theories. Being based on the notion of excitations, it provides a completely relational way of defining regions. Therefore, it naturally applies to background independent theories, e.g. gravity, by circumventing the difficulty of specifying the position of the entangling surface. We relate our construction to earlier proposals and argue that it brings these closer to each other. In particular, it yields the non-Abelian analogue of the ‘magnetic centre choice’, as obtained through an extended-Hilbert-space method, but applied to the recently introduced fusion basis for 3D lattice gauge theories. We point out that the different definitions of entanglement entropy can be related to a choice of (squeezed) vacuum state.
    60 schema:genre research_article
    61 schema:inLanguage en
    62 schema:isAccessibleForFree true
    63 schema:isPartOf N590451bf53fc494e9899198f6c13aab4
    64 Ncb5d6d06cabb45acaefe6543bbfdf958
    65 sg:journal.1052482
    66 schema:name On entanglement entropy in non-Abelian lattice gauge theory and 3D quantum gravity
    67 schema:pagination 102
    68 schema:productId N1e596bae75574828aac1440feed9ebb6
    69 N21a269c1f5f845fda91bd0fa43ef1086
    70 Ncacdf6340ae047eea3b90e264c3b03af
    71 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045810348
    72 https://doi.org/10.1007/jhep11(2016)102
    73 schema:sdDatePublished 2019-04-11T13:10
    74 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    75 schema:sdPublisher Nddc1a411de8f4ab981f14ed4daa12fbf
    76 schema:url https://link.springer.com/10.1007%2FJHEP11%282016%29102
    77 sgo:license sg:explorer/license/
    78 sgo:sdDataset articles
    79 rdf:type schema:ScholarlyArticle
    80 N1e596bae75574828aac1440feed9ebb6 schema:name readcube_id
    81 schema:value da36b3b7ddfd236c4b3969cb914dfec993f92abf66dbb7d90cd66d916c7710a7
    82 rdf:type schema:PropertyValue
    83 N21a269c1f5f845fda91bd0fa43ef1086 schema:name dimensions_id
    84 schema:value pub.1045810348
    85 rdf:type schema:PropertyValue
    86 N24a9719944ba421cabd6c18290bc3480 rdf:first sg:person.013030721413.26
    87 rdf:rest rdf:nil
    88 N590451bf53fc494e9899198f6c13aab4 schema:volumeNumber 2016
    89 rdf:type schema:PublicationVolume
    90 N61200708d561424eb67c1e0d6640f92d rdf:first sg:person.010153256660.98
    91 rdf:rest Nc2550f74ab7b480bbac3aa3f02d46aaf
    92 Nc2550f74ab7b480bbac3aa3f02d46aaf rdf:first sg:person.015257074653.42
    93 rdf:rest N24a9719944ba421cabd6c18290bc3480
    94 Ncacdf6340ae047eea3b90e264c3b03af schema:name doi
    95 schema:value 10.1007/jhep11(2016)102
    96 rdf:type schema:PropertyValue
    97 Ncb5d6d06cabb45acaefe6543bbfdf958 schema:issueNumber 11
    98 rdf:type schema:PublicationIssue
    99 Nddc1a411de8f4ab981f14ed4daa12fbf schema:name Springer Nature - SN SciGraph project
    100 rdf:type schema:Organization
    101 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    102 schema:name Mathematical Sciences
    103 rdf:type schema:DefinedTerm
    104 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    105 schema:name Pure Mathematics
    106 rdf:type schema:DefinedTerm
    107 sg:journal.1052482 schema:issn 1029-8479
    108 1126-6708
    109 schema:name Journal of High Energy Physics
    110 rdf:type schema:Periodical
    111 sg:person.010153256660.98 schema:affiliation https://www.grid.ac/institutes/grid.46078.3d
    112 schema:familyName Delcamp
    113 schema:givenName Clement
    114 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010153256660.98
    115 rdf:type schema:Person
    116 sg:person.013030721413.26 schema:affiliation https://www.grid.ac/institutes/grid.420198.6
    117 schema:familyName Riello
    118 schema:givenName Aldo
    119 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013030721413.26
    120 rdf:type schema:Person
    121 sg:person.015257074653.42 schema:affiliation https://www.grid.ac/institutes/grid.420198.6
    122 schema:familyName Dittrich
    123 schema:givenName Bianca
    124 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015257074653.42
    125 rdf:type schema:Person
    126 sg:pub.10.1007/bf01238812 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032827895
    127 https://doi.org/10.1007/bf01238812
    128 rdf:type schema:CreativeWork
    129 sg:pub.10.1007/bf01247086 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030891740
    130 https://doi.org/10.1007/bf01247086
    131 rdf:type schema:CreativeWork
    132 sg:pub.10.1007/jhep01(2016)047 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000955439
    133 https://doi.org/10.1007/jhep01(2016)047
    134 rdf:type schema:CreativeWork
    135 sg:pub.10.1007/jhep01(2016)136 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031481810
    136 https://doi.org/10.1007/jhep01(2016)136
    137 rdf:type schema:CreativeWork
    138 sg:pub.10.1007/jhep09(2016)102 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026649379
    139 https://doi.org/10.1007/jhep09(2016)102
    140 rdf:type schema:CreativeWork
    141 sg:pub.10.1007/jhep12(2015)099 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044545129
    142 https://doi.org/10.1007/jhep12(2015)099
    143 rdf:type schema:CreativeWork
    144 sg:pub.10.1007/s002200050475 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007202385
    145 https://doi.org/10.1007/s002200050475
    146 rdf:type schema:CreativeWork
    147 sg:pub.10.1007/s10714-007-0495-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028112377
    148 https://doi.org/10.1007/s10714-007-0495-2
    149 rdf:type schema:CreativeWork
    150 sg:pub.10.1007/s10714-016-2107-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002572189
    151 https://doi.org/10.1007/s10714-016-2107-5
    152 rdf:type schema:CreativeWork
    153 sg:pub.10.1088/1126-6708/2008/05/016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047615916
    154 https://doi.org/10.1088/1126-6708/2008/05/016
    155 rdf:type schema:CreativeWork
    156 https://doi.org/10.1016/0370-2693(92)90773-w schema:sameAs https://app.dimensions.ai/details/publication/pub.1001102863
    157 rdf:type schema:CreativeWork
    158 https://doi.org/10.1016/0550-3213(90)90288-o schema:sameAs https://app.dimensions.ai/details/publication/pub.1009543381
    159 rdf:type schema:CreativeWork
    160 https://doi.org/10.1016/0920-5632(91)90123-v schema:sameAs https://app.dimensions.ai/details/publication/pub.1004364519
    161 rdf:type schema:CreativeWork
    162 https://doi.org/10.1016/j.physletb.2003.08.043 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026400213
    163 rdf:type schema:CreativeWork
    164 https://doi.org/10.1016/j.physletb.2008.10.032 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050176393
    165 rdf:type schema:CreativeWork
    166 https://doi.org/10.1016/s0003-4916(02)00018-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015449553
    167 rdf:type schema:CreativeWork
    168 https://doi.org/10.1063/1.2352860 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000589850
    169 rdf:type schema:CreativeWork
    170 https://doi.org/10.1063/1.530684 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017183427
    171 rdf:type schema:CreativeWork
    172 https://doi.org/10.1088/0264-9381/10/8/022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005492883
    173 rdf:type schema:CreativeWork
    174 https://doi.org/10.1088/0264-9381/21/24/002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017569339
    175 rdf:type schema:CreativeWork
    176 https://doi.org/10.1088/0264-9381/22/12/r01 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030906228
    177 rdf:type schema:CreativeWork
    178 https://doi.org/10.1088/0264-9381/22/21/005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046895619
    179 rdf:type schema:CreativeWork
    180 https://doi.org/10.1088/0264-9381/23/22/006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048377517
    181 rdf:type schema:CreativeWork
    182 https://doi.org/10.1088/0264-9381/23/4/001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014678428
    183 rdf:type schema:CreativeWork
    184 https://doi.org/10.1088/0264-9381/23/4/005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015739286
    185 rdf:type schema:CreativeWork
    186 https://doi.org/10.1088/0264-9381/24/18/001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000157763
    187 rdf:type schema:CreativeWork
    188 https://doi.org/10.1088/0264-9381/24/4/001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039814877
    189 rdf:type schema:CreativeWork
    190 https://doi.org/10.1088/0264-9381/27/22/225007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006288069
    191 rdf:type schema:CreativeWork
    192 https://doi.org/10.1088/0264-9381/31/21/214003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001730352
    193 rdf:type schema:CreativeWork
    194 https://doi.org/10.1088/0264-9381/31/7/075004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001305215
    195 rdf:type schema:CreativeWork
    196 https://doi.org/10.1088/0264-9381/32/11/112001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027190825
    197 rdf:type schema:CreativeWork
    198 https://doi.org/10.1088/0264-9381/32/13/135016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047589270
    199 rdf:type schema:CreativeWork
    200 https://doi.org/10.1088/0264-9381/9/6/004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021706637
    201 rdf:type schema:CreativeWork
    202 https://doi.org/10.1088/0305-4470/32/48/313 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014375757
    203 rdf:type schema:CreativeWork
    204 https://doi.org/10.1088/1367-2630/16/12/123041 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039201123
    205 rdf:type schema:CreativeWork
    206 https://doi.org/10.1088/1742-5468/2004/06/p06002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051859914
    207 rdf:type schema:CreativeWork
    208 https://doi.org/10.1088/1751-8113/42/50/504007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037519848
    209 rdf:type schema:CreativeWork
    210 https://doi.org/10.1103/physrevb.71.045110 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047264319
    211 rdf:type schema:CreativeWork
    212 https://doi.org/10.1103/physrevb.90.115119 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016060267
    213 rdf:type schema:CreativeWork
    214 https://doi.org/10.1103/physrevb.93.245140 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060650896
    215 rdf:type schema:CreativeWork
    216 https://doi.org/10.1103/physrevd.43.419 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060699313
    217 rdf:type schema:CreativeWork
    218 https://doi.org/10.1103/physrevd.51.5600 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049725963
    219 rdf:type schema:CreativeWork
    220 https://doi.org/10.1103/physrevd.74.064018 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018826875
    221 rdf:type schema:CreativeWork
    222 https://doi.org/10.1103/physrevd.77.104006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007403309
    223 rdf:type schema:CreativeWork
    224 https://doi.org/10.1103/physrevd.85.085004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000531058
    225 rdf:type schema:CreativeWork
    226 https://doi.org/10.1103/physrevd.89.085012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018303165
    227 rdf:type schema:CreativeWork
    228 https://doi.org/10.1103/physrevd.93.024030 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060711648
    229 rdf:type schema:CreativeWork
    230 https://doi.org/10.1103/physrevlett.117.131602 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060766371
    231 rdf:type schema:CreativeWork
    232 https://doi.org/10.1103/physrevlett.57.2244 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060794048
    233 rdf:type schema:CreativeWork
    234 https://doi.org/10.1103/physrevlett.96.110404 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014714103
    235 rdf:type schema:CreativeWork
    236 https://doi.org/10.1103/revmodphys.80.517 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060839663
    237 rdf:type schema:CreativeWork
    238 https://doi.org/10.3842/sigma.2012.026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071452231
    239 rdf:type schema:CreativeWork
    240 https://doi.org/10.4310/atmp.2010.v14.n6.a3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072457318
    241 rdf:type schema:CreativeWork
    242 https://www.grid.ac/institutes/grid.420198.6 schema:alternateName Perimeter Institute
    243 schema:name Perimeter Institute for Theoretical Physics, 31 Caroline Street North, N2L 2Y5, Waterloo, Ontario, Canada
    244 rdf:type schema:Organization
    245 https://www.grid.ac/institutes/grid.46078.3d schema:alternateName University of Waterloo
    246 schema:name Department of Physics & Astronomy and Guelph-Waterloo Physics Institute, University of Waterloo, 200 University Avenue West, N2L 3G1, Waterloo, Ontario, Canada
    247 Perimeter Institute for Theoretical Physics, 31 Caroline Street North, N2L 2Y5, Waterloo, Ontario, Canada
    248 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...