Notes on the Syk Model in Real Time View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-11

AUTHORS

I. Ya. Aref’eva, I. V. Volovich

ABSTRACT

We discuss a nonperturbative formulation of the Sachdev–Ye–Kitaev (SYK) model. The partition function of the model can be represented as a well-defined functional integral over Grassmann variables in Euclidean time, but it diverges after the transformation to fermion bilocal fields. We note that the generating functional of the SYK model in real time is well defined even after the transformation to bilocal fields and can be used for nonperturbative investigations of its properties. We study the SYK model in zero dimensions, evaluate its large-N expansion, and investigate phase transitions. More... »

PAGES

1650-1662

References to SciGraph publications

  • 2016-07. An investigation of AdS2 backreaction and holography in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-12. All point correlation functions in SYK in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-05. Black holes and random matrices in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-04. The spectrum in the Sachdev-Ye-Kitaev model in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-05. The bulk dual of SYK: cubic couplings in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-07. Bi-local holography in the SYK model in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-09. Thermalization after holographic bilocal quench in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-08. Manipulation of states of a degenerate quantum system in PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
  • 1984-04. Superanalysis in THEORETICAL AND MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0040577918110090

    DOI

    http://dx.doi.org/10.1134/s0040577918110090

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1110564744


    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/2008/1608", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Sociology", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/16", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Studies in Human Society", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Steklov Mathematical Institute", 
              "id": "https://www.grid.ac/institutes/grid.426543.2", 
              "name": [
                "Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Aref\u2019eva", 
            "givenName": "I. Ya.", 
            "id": "sg:person.013202033155.65", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013202033155.65"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Steklov Mathematical Institute", 
              "id": "https://www.grid.ac/institutes/grid.426543.2", 
              "name": [
                "Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Volovich", 
            "givenName": "I. V.", 
            "id": "sg:person.016077072551.02", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016077072551.02"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/j.nuclphysb.2016.08.002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008685045"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s008154381606016x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014037086", 
              "https://doi.org/10.1134/s008154381606016x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s008154381606016x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014037086", 
              "https://doi.org/10.1134/s008154381606016x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep07(2016)007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017045933", 
              "https://doi.org/10.1007/jhep07(2016)007"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep07(2016)007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017045933", 
              "https://doi.org/10.1007/jhep07(2016)007"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/10236190701458824", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017236939"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.70.3339", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021261520"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.70.3339", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021261520"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep04(2016)001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037035340", 
              "https://doi.org/10.1007/jhep04(2016)001"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/ptep/ptw124", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044614055"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevx.5.041025", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047110770"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevx.5.041025", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047110770"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01028510", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048540511", 
              "https://doi.org/10.1007/bf01028510"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep07(2016)139", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049751682", 
              "https://doi.org/10.1007/jhep07(2016)139"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep07(2016)139", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049751682", 
              "https://doi.org/10.1007/jhep07(2016)139"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.94.106002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060714580"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.94.106002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060714580"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.117.111601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060766280"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.117.111601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060766280"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1209/0295-5075/113/30005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064227382"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4153/cjm-1963-039-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072264504"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep05(2017)092", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1085437314", 
              "https://doi.org/10.1007/jhep05(2017)092"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep05(2017)118", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1085559666", 
              "https://doi.org/10.1007/jhep05(2017)118"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2017)115", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1091928998", 
              "https://doi.org/10.1007/jhep09(2017)115"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0219025717500217", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1099757983"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2017)148", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1100159012", 
              "https://doi.org/10.1007/jhep12(2017)148"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2018-11", 
        "datePublishedReg": "2018-11-01", 
        "description": "We discuss a nonperturbative formulation of the Sachdev\u2013Ye\u2013Kitaev (SYK) model. The partition function of the model can be represented as a well-defined functional integral over Grassmann variables in Euclidean time, but it diverges after the transformation to fermion bilocal fields. We note that the generating functional of the SYK model in real time is well defined even after the transformation to bilocal fields and can be used for nonperturbative investigations of its properties. We study the SYK model in zero dimensions, evaluate its large-N expansion, and investigate phase transitions.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1134/s0040577918110090", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1327888", 
            "issn": [
              "0040-5779", 
              "2305-3135"
            ], 
            "name": "Theoretical and Mathematical Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "197"
          }
        ], 
        "name": "Notes on the Syk Model in Real Time", 
        "pagination": "1650-1662", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "4337e05c5b99926c811103b836e60a87eec582478f84cd991485ca17edcf558f"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1134/s0040577918110090"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1110564744"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1134/s0040577918110090", 
          "https://app.dimensions.ai/details/publication/pub.1110564744"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T08:23", 
        "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/v90/0000000293_0000000293/records_12041_00000000.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1134%2FS0040577918110090"
      }
    ]
     

    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.10.1134/s0040577918110090'

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

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1134/s0040577918110090'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1134/s0040577918110090'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1134/s0040577918110090'


     

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

    134 TRIPLES      21 PREDICATES      46 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1134/s0040577918110090 schema:about anzsrc-for:16
    2 anzsrc-for:1608
    3 schema:author N7f34a563547d4b5b86eb4b5c12395040
    4 schema:citation sg:pub.10.1007/bf01028510
    5 sg:pub.10.1007/jhep04(2016)001
    6 sg:pub.10.1007/jhep05(2017)092
    7 sg:pub.10.1007/jhep05(2017)118
    8 sg:pub.10.1007/jhep07(2016)007
    9 sg:pub.10.1007/jhep07(2016)139
    10 sg:pub.10.1007/jhep09(2017)115
    11 sg:pub.10.1007/jhep12(2017)148
    12 sg:pub.10.1134/s008154381606016x
    13 https://doi.org/10.1016/j.nuclphysb.2016.08.002
    14 https://doi.org/10.1080/10236190701458824
    15 https://doi.org/10.1093/ptep/ptw124
    16 https://doi.org/10.1103/physrevd.94.106002
    17 https://doi.org/10.1103/physrevlett.117.111601
    18 https://doi.org/10.1103/physrevlett.70.3339
    19 https://doi.org/10.1103/physrevx.5.041025
    20 https://doi.org/10.1142/s0219025717500217
    21 https://doi.org/10.1209/0295-5075/113/30005
    22 https://doi.org/10.4153/cjm-1963-039-6
    23 schema:datePublished 2018-11
    24 schema:datePublishedReg 2018-11-01
    25 schema:description We discuss a nonperturbative formulation of the Sachdev–Ye–Kitaev (SYK) model. The partition function of the model can be represented as a well-defined functional integral over Grassmann variables in Euclidean time, but it diverges after the transformation to fermion bilocal fields. We note that the generating functional of the SYK model in real time is well defined even after the transformation to bilocal fields and can be used for nonperturbative investigations of its properties. We study the SYK model in zero dimensions, evaluate its large-N expansion, and investigate phase transitions.
    26 schema:genre research_article
    27 schema:inLanguage en
    28 schema:isAccessibleForFree true
    29 schema:isPartOf N204de3606cf44bf8ad810e3408e60b34
    30 N554878590ba04b2481a88bc615e64abd
    31 sg:journal.1327888
    32 schema:name Notes on the Syk Model in Real Time
    33 schema:pagination 1650-1662
    34 schema:productId N1e3712bce3f5434fbd439cf13c9bcf00
    35 N62a3691a95184ad5bce6657c1ec39e9b
    36 Nc4bf726a3aba45a2b8a4777345a24ad1
    37 schema:sameAs https://app.dimensions.ai/details/publication/pub.1110564744
    38 https://doi.org/10.1134/s0040577918110090
    39 schema:sdDatePublished 2019-04-11T08:23
    40 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    41 schema:sdPublisher N25592b5e5b304a2eaa22cb3d5acde6ea
    42 schema:url https://link.springer.com/10.1134%2FS0040577918110090
    43 sgo:license sg:explorer/license/
    44 sgo:sdDataset articles
    45 rdf:type schema:ScholarlyArticle
    46 N056c9990874643edb4c4859ca74eac0c rdf:first sg:person.016077072551.02
    47 rdf:rest rdf:nil
    48 N1e3712bce3f5434fbd439cf13c9bcf00 schema:name doi
    49 schema:value 10.1134/s0040577918110090
    50 rdf:type schema:PropertyValue
    51 N204de3606cf44bf8ad810e3408e60b34 schema:volumeNumber 197
    52 rdf:type schema:PublicationVolume
    53 N25592b5e5b304a2eaa22cb3d5acde6ea schema:name Springer Nature - SN SciGraph project
    54 rdf:type schema:Organization
    55 N554878590ba04b2481a88bc615e64abd schema:issueNumber 2
    56 rdf:type schema:PublicationIssue
    57 N62a3691a95184ad5bce6657c1ec39e9b schema:name dimensions_id
    58 schema:value pub.1110564744
    59 rdf:type schema:PropertyValue
    60 N7f34a563547d4b5b86eb4b5c12395040 rdf:first sg:person.013202033155.65
    61 rdf:rest N056c9990874643edb4c4859ca74eac0c
    62 Nc4bf726a3aba45a2b8a4777345a24ad1 schema:name readcube_id
    63 schema:value 4337e05c5b99926c811103b836e60a87eec582478f84cd991485ca17edcf558f
    64 rdf:type schema:PropertyValue
    65 anzsrc-for:16 schema:inDefinedTermSet anzsrc-for:
    66 schema:name Studies in Human Society
    67 rdf:type schema:DefinedTerm
    68 anzsrc-for:1608 schema:inDefinedTermSet anzsrc-for:
    69 schema:name Sociology
    70 rdf:type schema:DefinedTerm
    71 sg:journal.1327888 schema:issn 0040-5779
    72 2305-3135
    73 schema:name Theoretical and Mathematical Physics
    74 rdf:type schema:Periodical
    75 sg:person.013202033155.65 schema:affiliation https://www.grid.ac/institutes/grid.426543.2
    76 schema:familyName Aref’eva
    77 schema:givenName I. Ya.
    78 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013202033155.65
    79 rdf:type schema:Person
    80 sg:person.016077072551.02 schema:affiliation https://www.grid.ac/institutes/grid.426543.2
    81 schema:familyName Volovich
    82 schema:givenName I. V.
    83 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016077072551.02
    84 rdf:type schema:Person
    85 sg:pub.10.1007/bf01028510 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048540511
    86 https://doi.org/10.1007/bf01028510
    87 rdf:type schema:CreativeWork
    88 sg:pub.10.1007/jhep04(2016)001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037035340
    89 https://doi.org/10.1007/jhep04(2016)001
    90 rdf:type schema:CreativeWork
    91 sg:pub.10.1007/jhep05(2017)092 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085437314
    92 https://doi.org/10.1007/jhep05(2017)092
    93 rdf:type schema:CreativeWork
    94 sg:pub.10.1007/jhep05(2017)118 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085559666
    95 https://doi.org/10.1007/jhep05(2017)118
    96 rdf:type schema:CreativeWork
    97 sg:pub.10.1007/jhep07(2016)007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017045933
    98 https://doi.org/10.1007/jhep07(2016)007
    99 rdf:type schema:CreativeWork
    100 sg:pub.10.1007/jhep07(2016)139 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049751682
    101 https://doi.org/10.1007/jhep07(2016)139
    102 rdf:type schema:CreativeWork
    103 sg:pub.10.1007/jhep09(2017)115 schema:sameAs https://app.dimensions.ai/details/publication/pub.1091928998
    104 https://doi.org/10.1007/jhep09(2017)115
    105 rdf:type schema:CreativeWork
    106 sg:pub.10.1007/jhep12(2017)148 schema:sameAs https://app.dimensions.ai/details/publication/pub.1100159012
    107 https://doi.org/10.1007/jhep12(2017)148
    108 rdf:type schema:CreativeWork
    109 sg:pub.10.1134/s008154381606016x schema:sameAs https://app.dimensions.ai/details/publication/pub.1014037086
    110 https://doi.org/10.1134/s008154381606016x
    111 rdf:type schema:CreativeWork
    112 https://doi.org/10.1016/j.nuclphysb.2016.08.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008685045
    113 rdf:type schema:CreativeWork
    114 https://doi.org/10.1080/10236190701458824 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017236939
    115 rdf:type schema:CreativeWork
    116 https://doi.org/10.1093/ptep/ptw124 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044614055
    117 rdf:type schema:CreativeWork
    118 https://doi.org/10.1103/physrevd.94.106002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060714580
    119 rdf:type schema:CreativeWork
    120 https://doi.org/10.1103/physrevlett.117.111601 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060766280
    121 rdf:type schema:CreativeWork
    122 https://doi.org/10.1103/physrevlett.70.3339 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021261520
    123 rdf:type schema:CreativeWork
    124 https://doi.org/10.1103/physrevx.5.041025 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047110770
    125 rdf:type schema:CreativeWork
    126 https://doi.org/10.1142/s0219025717500217 schema:sameAs https://app.dimensions.ai/details/publication/pub.1099757983
    127 rdf:type schema:CreativeWork
    128 https://doi.org/10.1209/0295-5075/113/30005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064227382
    129 rdf:type schema:CreativeWork
    130 https://doi.org/10.4153/cjm-1963-039-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072264504
    131 rdf:type schema:CreativeWork
    132 https://www.grid.ac/institutes/grid.426543.2 schema:alternateName Steklov Mathematical Institute
    133 schema:name Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
    134 rdf:type schema:Organization
     




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


    ...