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

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 N34afe4659d7440e188f9941e9db19d7f
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 N041f7a2d43514bd3b1a9330ef369791a
64 Nb0127b4083a14849b1a7db6a54774b3f
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 N1c37783253d541e98e28f7779b5db128
69 N2799936faf9c4df895abe0f5ac873f20
70 Ne5d83f29d0eb406d99ff8465578151ca
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 N9de562703e2c4076848ea2cba216f1f3
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 N041f7a2d43514bd3b1a9330ef369791a schema:volumeNumber 2016
81 rdf:type schema:PublicationVolume
82 N1c37783253d541e98e28f7779b5db128 schema:name doi
83 schema:value 10.1007/jhep11(2016)102
84 rdf:type schema:PropertyValue
85 N2799936faf9c4df895abe0f5ac873f20 schema:name readcube_id
86 schema:value da36b3b7ddfd236c4b3969cb914dfec993f92abf66dbb7d90cd66d916c7710a7
87 rdf:type schema:PropertyValue
88 N34afe4659d7440e188f9941e9db19d7f rdf:first sg:person.010153256660.98
89 rdf:rest N99942e756db94c3683c6f1f766c495f7
90 N6655c878f7bb4cf0ae9f194e524f6078 rdf:first sg:person.013030721413.26
91 rdf:rest rdf:nil
92 N99942e756db94c3683c6f1f766c495f7 rdf:first sg:person.015257074653.42
93 rdf:rest N6655c878f7bb4cf0ae9f194e524f6078
94 N9de562703e2c4076848ea2cba216f1f3 schema:name Springer Nature - SN SciGraph project
95 rdf:type schema:Organization
96 Nb0127b4083a14849b1a7db6a54774b3f schema:issueNumber 11
97 rdf:type schema:PublicationIssue
98 Ne5d83f29d0eb406d99ff8465578151ca schema:name dimensions_id
99 schema:value pub.1045810348
100 rdf:type schema:PropertyValue
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)


...