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" } ] }