QCD pressure: Renormalization group optimized perturbation theory confronts lattice

Jean-Loïc Kneur (Laboratoire Charles Coulomb (L2C), Université Montpellier, CNRS, 34095 Montpellier, France) ; Marcus Benghi Pinto (Departamento de Física, Universidade Federal de Santa Catarina, Florianópolis, SC, Brazil) ; Tulio E. Restrepo (Departamento de Física, Universidade Federal de Santa Catarina, Florianópolis, SC, Brazil)

The quark contribution to the QCD pressure, Pq, is evaluated up to next-to-leading order (NLO) within the renormalization group optimized perturbation theory (RGOPT) resummation approach. To evaluate the complete QCD pressure we simply add the perturbative NLO contribution from massless gluons to the resummed Pq. Despite this unsophisticated approximation our results for P=Pq+Pg at the central scale M2πT show a remarkable agreement with lattice predictions for 0.25T1 GeV. We also show that by being imbued with RG properties, the RGOPT produces a drastic reduction of the embarrassing remnant scale dependence that plagues both standard thermal perturbative QCD and hard thermal loop perturbation theory applications.

{
  "_oai": {
    "updated": "2022-04-05T09:37:43Z", 
    "id": "oai:repo.scoap3.org:64236", 
    "sets": [
      "PRD"
    ]
  }, 
  "authors": [
    {
      "raw_name": "Jean-Lo\u00efc Kneur", 
      "affiliations": [
        {
          "country": "France", 
          "value": "Laboratoire Charles Coulomb (L2C), Universite\u0301 Montpellier, CNRS, 34095 Montpellier, France"
        }
      ], 
      "surname": "Kneur", 
      "given_names": "Jean-Lo\u00efc", 
      "full_name": "Kneur, Jean-Lo\u00efc"
    }, 
    {
      "raw_name": "Marcus Benghi Pinto", 
      "affiliations": [
        {
          "country": "Brazil", 
          "value": "Departamento de F\u00edsica, Universidade Federal de Santa Catarina, Florian\u00f3polis, SC, Brazil"
        }
      ], 
      "surname": "Pinto", 
      "given_names": "Marcus Benghi", 
      "full_name": "Pinto, Marcus Benghi"
    }, 
    {
      "raw_name": "Tulio E. Restrepo", 
      "affiliations": [
        {
          "country": "Brazil", 
          "value": "Departamento de F\u00edsica, Universidade Federal de Santa Catarina, Florian\u00f3polis, SC, Brazil"
        }
      ], 
      "surname": "Restrepo", 
      "given_names": "Tulio E.", 
      "full_name": "Restrepo, Tulio E."
    }
  ], 
  "titles": [
    {
      "source": "APS", 
      "title": "QCD pressure: Renormalization group optimized perturbation theory confronts lattice"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevD.104.L031502"
    }
  ], 
  "publication_info": [
    {
      "journal_volume": "104", 
      "journal_title": "Physical Review D", 
      "material": "other", 
      "journal_issue": "3", 
      "year": 2021
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2022-04-05T09:20:47.233936", 
    "source": "APS", 
    "method": "APS", 
    "submission_number": "a0d20d20b4c111ec837fd6d834be26e1"
  }, 
  "page_nr": [
    6
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "statement": "Published by the American Physical Society", 
      "year": "2021"
    }
  ], 
  "control_number": "64236", 
  "record_creation_date": "2021-08-24T20:30:03.146884", 
  "_files": [
    {
      "checksum": "md5:6f3cd0a27fd7188897de3f1a3c0af66a", 
      "filetype": "pdf", 
      "bucket": "eb3a7d86-8030-4f82-a21d-66c967186bde", 
      "version_id": "2c26ce92-a8f3-4d20-8b66-e758707b8927", 
      "key": "10.1103/PhysRevD.104.L031502.pdf", 
      "size": 475480
    }, 
    {
      "checksum": "md5:04af1e91b30c82a157b508426514354a", 
      "filetype": "xml", 
      "bucket": "eb3a7d86-8030-4f82-a21d-66c967186bde", 
      "version_id": "9e8f134c-0fd1-4628-b8f1-9aca00414c16", 
      "key": "10.1103/PhysRevD.104.L031502.xml", 
      "size": 133955
    }
  ], 
  "collections": [
    {
      "primary": "HEP"
    }, 
    {
      "primary": "Citeable"
    }, 
    {
      "primary": "Published"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-ph", 
        "hep-lat", 
        "hep-th", 
        "nucl-th"
      ], 
      "value": "2101.02124"
    }
  ], 
  "abstracts": [
    {
      "source": "APS", 
      "value": "The quark contribution to the QCD pressure, <math><msub><mi>P</mi><mi>q</mi></msub></math>, is evaluated up to next-to-leading order (NLO) within the renormalization group optimized perturbation theory (RGOPT) resummation approach. To evaluate the complete QCD pressure we simply add the perturbative NLO contribution from massless gluons to the resummed <math><msub><mi>P</mi><mi>q</mi></msub></math>. Despite this unsophisticated approximation our results for <math><mi>P</mi><mo>=</mo><msub><mi>P</mi><mi>q</mi></msub><mo>+</mo><msub><mi>P</mi><mi>g</mi></msub></math> at the central scale <math><mi>M</mi><mo>\u223c</mo><mn>2</mn><mi>\u03c0</mi><mi>T</mi></math> show a remarkable agreement with lattice predictions for <math><mn>0.25</mn><mo>\u2272</mo><mi>T</mi><mo>\u2272</mo><mn>1</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>. We also show that by being imbued with RG properties, the RGOPT produces a drastic reduction of the embarrassing remnant scale dependence that plagues both standard thermal perturbative QCD and hard thermal loop perturbation theory applications."
    }
  ], 
  "imprints": [
    {
      "date": "2021-08-24", 
      "publisher": "APS"
    }
  ]
}
Published on:
24 August 2021
Publisher:
APS
Published in:
Physical Review D , Volume 104 (2021)
Issue 3
DOI:
https://doi.org/10.1103/PhysRevD.104.L031502
arXiv:
2101.02124
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: