The Gross-Neveu-Yukawa archipelago

Rajeev Erramilli (Department of Physics, Yale University, 217 Prospect St, New Haven, CT, 06520, U.S.A.) ; Luca Iliesiu (Stanford Institute for Theoretical Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA, 94305, U.S.A.) ; Petr Kravchuk (School of Natural Sciences, Institute for Advanced Study, 1 Einstein Dr, Princeton, NJ, 08540, U.S.A.; Simons Center for Geometry and Physics, Stony Brook University, 100 Nicolls Road, Stony Brook, NY, 11794-3840, U.S.A.; Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, U.K.) ; Aike Liu (Walter Burke Institute for Theoretical Physics, Caltech, 1200 East California Blvd, Pasadena, CA, 91125, U.S.A.) ; David Poland (Department of Physics, Yale University, 217 Prospect St, New Haven, CT, 06520, U.S.A.) ; et al. - Show all 6 authors

We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results.

{
  "_oai": {
    "updated": "2023-07-11T00:33:18Z", 
    "id": "oai:repo.scoap3.org:75547", 
    "sets": [
      "JHEP"
    ]
  }, 
  "authors": [
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics, Yale University, 217 Prospect St, New Haven, CT, 06520, U.S.A.", 
          "organization": "Yale University"
        }
      ], 
      "surname": "Erramilli", 
      "email": "rajeev.erramilli@yale.edu", 
      "full_name": "Erramilli, Rajeev", 
      "given_names": "Rajeev"
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Stanford Institute for Theoretical Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA, 94305, U.S.A.", 
          "organization": "Stanford University"
        }
      ], 
      "surname": "Iliesiu", 
      "email": "liliesiu@stanford.edu", 
      "full_name": "Iliesiu, Luca", 
      "given_names": "Luca"
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "School of Natural Sciences, Institute for Advanced Study, 1 Einstein Dr, Princeton, NJ, 08540, U.S.A.", 
          "organization": "School of Natural Sciences, Institute for Advanced Study"
        }, 
        {
          "country": "USA", 
          "value": "Simons Center for Geometry and Physics, Stony Brook University, 100 Nicolls Road, Stony Brook, NY, 11794-3840, U.S.A.", 
          "organization": "Stony Brook University"
        }, 
        {
          "country": "UK", 
          "value": "Department of Mathematics, King\u2019s College London, Strand, London, WC2R 2LS, U.K.", 
          "organization": "Department of Mathematics, King\u2019s College London"
        }
      ], 
      "surname": "Kravchuk", 
      "email": "petr.kravchuk@kcl.ac.uk", 
      "full_name": "Kravchuk, Petr", 
      "given_names": "Petr"
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Walter Burke Institute for Theoretical Physics, Caltech, 1200 East California Blvd, Pasadena, CA, 91125, U.S.A.", 
          "organization": "Walter Burke Institute for Theoretical Physics, Caltech"
        }
      ], 
      "surname": "Liu", 
      "email": "aliu7@caltech.edu", 
      "full_name": "Liu, Aike", 
      "given_names": "Aike"
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics, Yale University, 217 Prospect St, New Haven, CT, 06520, U.S.A.", 
          "organization": "Yale University"
        }
      ], 
      "surname": "Poland", 
      "email": "david.poland@yale.edu", 
      "full_name": "Poland, David", 
      "given_names": "David"
    }, 
    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Walter Burke Institute for Theoretical Physics, Caltech, 1200 East California Blvd, Pasadena, CA, 91125, U.S.A.", 
          "organization": "Walter Burke Institute for Theoretical Physics, Caltech"
        }
      ], 
      "surname": "Simmons-Duffin", 
      "email": "dsd@caltech.edu", 
      "full_name": "Simmons-Duffin, David", 
      "given_names": "David"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "The Gross-Neveu-Yukawa archipelago"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP02(2023)036"
    }
  ], 
  "publication_info": [
    {
      "page_end": "49", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2023", 
      "artid": "JHEP02(2023)036", 
      "year": 2023, 
      "page_start": "1", 
      "journal_issue": "2"
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2023-07-11T00:31:12.976768", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "11d99a161f8211ee91ac6ee2827c7def"
  }, 
  "page_nr": [
    49
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2023"
    }
  ], 
  "control_number": "75547", 
  "record_creation_date": "2023-02-06T03:30:18.028973", 
  "_files": [
    {
      "checksum": "md5:5b1a9b3037ca72d6de43305a46bf180e", 
      "filetype": "xml", 
      "bucket": "7e2ae4b2-745f-44b0-90a8-102468dd5a0d", 
      "version_id": "a5f917ae-b93d-436d-91a4-71e96c21b80d", 
      "key": "10.1007/JHEP02(2023)036.xml", 
      "size": 15564
    }, 
    {
      "checksum": "md5:8969cb9a9b45ea843915ba95bdb11d17", 
      "filetype": "pdf/a", 
      "bucket": "7e2ae4b2-745f-44b0-90a8-102468dd5a0d", 
      "version_id": "9976c385-37ef-47cf-8315-05c399d943ab", 
      "key": "10.1007/JHEP02(2023)036_a.pdf", 
      "size": 1088868
    }
  ], 
  "collections": [
    {
      "primary": "Journal of High Energy Physics"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-th", 
        "cond-mat.stat-mech", 
        "cond-mat.str-el", 
        "hep-lat"
      ], 
      "value": "2210.02492"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results."
    }
  ], 
  "imprints": [
    {
      "date": "2023-02-03", 
      "publisher": "Springer"
    }
  ]
}
Published on:
03 February 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 2
Pages 1-49
DOI:
https://doi.org/10.1007/JHEP02(2023)036
arXiv:
2210.02492
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: