Soft Interactions in Cold Quark Matter

Tyler Gorda (Technische Universität Darmstadt, Department of Physics, D–64289 Darmstadt, Germany; Helmholtz Research Academy for FAIR, D–64289 Darmstadt, Germany) ; Aleksi Kurkela (Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, Norway) ; Risto Paatelainen (Helsinki Institute of Physics and Department of Physics, FI-00014 University of Helsinki, Finland) ; Saga Säppi (European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Strada delle Tabarelle 286, I-38123, Villazzano (TN), Italy; Helsinki Institute of Physics and Department of Physics, FI-00014 University of Helsinki, Finland) ; Aleksi Vuorinen (Helsinki Institute of Physics and Department of Physics, FI-00014 University of Helsinki, Finland)

Accurate knowledge of the thermodynamic properties of zero-temperature, high-density quark matter plays an integral role in attempts to constrain the behavior of the dense QCD matter found inside neutron-star cores, irrespective of the phase realized inside the stars. In this Letter, we consider the weak-coupling expansion of the dense QCD equation of state and compute the next-to-next-to-next-to-leading-order contribution arising from the non-Abelian interactions among long-wavelength, dynamically screened gluonic fields. Accounting for these interactions requires an all-loop resummation, which can be performed using hard-thermal-loop (HTL) kinematic approximations. Concretely, we perform a full two-loop computation using the HTL effective theory, valid for the long-wavelength, or soft, modes. We find that the soft sector is well behaved within cold quark matter, contrary to the case encountered at high temperatures, and find that the new contribution decreases the renormalization-scale dependence of the equation of state at high density.

{
  "_oai": {
    "updated": "2022-04-05T09:48:15Z", 
    "id": "oai:repo.scoap3.org:65366", 
    "sets": [
      "PRL"
    ]
  }, 
  "authors": [
    {
      "raw_name": "Tyler Gorda", 
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Technische Universit\u00e4t Darmstadt, Department of Physics, D\u201364289 Darmstadt, Germany"
        }, 
        {
          "country": "Germany", 
          "value": "Helmholtz Research Academy for FAIR, D\u201364289 Darmstadt, Germany"
        }
      ], 
      "surname": "Gorda", 
      "given_names": "Tyler", 
      "full_name": "Gorda, Tyler"
    }, 
    {
      "raw_name": "Aleksi Kurkela", 
      "affiliations": [
        {
          "country": "Norway", 
          "value": "Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, Norway"
        }
      ], 
      "surname": "Kurkela", 
      "given_names": "Aleksi", 
      "full_name": "Kurkela, Aleksi"
    }, 
    {
      "raw_name": "Risto Paatelainen", 
      "affiliations": [
        {
          "country": "Finland", 
          "value": "Helsinki Institute of Physics and Department of Physics, FI-00014 University of Helsinki, Finland"
        }
      ], 
      "surname": "Paatelainen", 
      "given_names": "Risto", 
      "full_name": "Paatelainen, Risto"
    }, 
    {
      "raw_name": "Saga S\u00e4ppi", 
      "affiliations": [
        {
          "country": "Italy", 
          "value": "European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Strada delle Tabarelle 286, I-38123, Villazzano (TN), Italy"
        }, 
        {
          "country": "Finland", 
          "value": "Helsinki Institute of Physics and Department of Physics, FI-00014 University of Helsinki, Finland"
        }
      ], 
      "surname": "S\u00e4ppi", 
      "given_names": "Saga", 
      "full_name": "S\u00e4ppi, Saga"
    }, 
    {
      "raw_name": "Aleksi Vuorinen", 
      "affiliations": [
        {
          "country": "Finland", 
          "value": "Helsinki Institute of Physics and Department of Physics, FI-00014 University of Helsinki, Finland"
        }
      ], 
      "surname": "Vuorinen", 
      "given_names": "Aleksi", 
      "full_name": "Vuorinen, Aleksi"
    }
  ], 
  "titles": [
    {
      "source": "APS", 
      "title": "Soft Interactions in Cold Quark Matter"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevLett.127.162003"
    }
  ], 
  "publication_info": [
    {
      "journal_volume": "127", 
      "journal_title": "Physical Review Letters", 
      "material": "article", 
      "journal_issue": "16", 
      "year": 2021
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2022-04-05T09:21:44.209398", 
    "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": "65366", 
  "record_creation_date": "2021-10-15T14:30:02.474861", 
  "_files": [
    {
      "checksum": "md5:fa116f53700b364816c4007a1a7b87e4", 
      "filetype": "pdf", 
      "bucket": "384a036b-41ec-4b13-9203-81ee84469d9e", 
      "version_id": "4fa5f62c-24ef-49ee-9d57-bdeed61cd59f", 
      "key": "10.1103/PhysRevLett.127.162003.pdf", 
      "size": 519089
    }, 
    {
      "checksum": "md5:5fc8ea63d6d35ae09551620f403137bd", 
      "filetype": "xml", 
      "bucket": "384a036b-41ec-4b13-9203-81ee84469d9e", 
      "version_id": "a39323d6-f095-452b-b576-3abbbcf1904c", 
      "key": "10.1103/PhysRevLett.127.162003.xml", 
      "size": 102094
    }
  ], 
  "collections": [
    {
      "primary": "HEP"
    }, 
    {
      "primary": "Citeable"
    }, 
    {
      "primary": "Published"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-ph", 
        "nucl-th"
      ], 
      "value": "2103.05658"
    }
  ], 
  "abstracts": [
    {
      "source": "APS", 
      "value": "Accurate knowledge of the thermodynamic properties of zero-temperature, high-density quark matter plays an integral role in attempts to constrain the behavior of the dense QCD matter found inside neutron-star cores, irrespective of the phase realized inside the stars. In this Letter, we consider the weak-coupling expansion of the dense QCD equation of state and compute the next-to-next-to-next-to-leading-order contribution arising from the non-Abelian interactions among long-wavelength, dynamically screened gluonic fields. Accounting for these interactions requires an all-loop resummation, which can be performed using hard-thermal-loop (HTL) kinematic approximations. Concretely, we perform a full two-loop computation using the HTL effective theory, valid for the long-wavelength, or soft, modes. We find that the soft sector is well behaved within cold quark matter, contrary to the case encountered at high temperatures, and find that the new contribution decreases the renormalization-scale dependence of the equation of state at high density."
    }
  ], 
  "imprints": [
    {
      "date": "2021-10-15", 
      "publisher": "APS"
    }
  ]
}
Published on:
15 October 2021
Publisher:
APS
Published in:
Physical Review Letters , Volume 127 (2021)
Issue 16
DOI:
https://doi.org/10.1103/PhysRevLett.127.162003
arXiv:
2103.05658
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: