We calculate the three-loop thermodynamic potential of QCD at finite temperature and chemical potential(s) using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and density QCD. The resulting analytic thermodynamic potential allows us to compute the pressure, energy density, and entropy density of the quark-gluon plasma. Using these we calculate the trace anomaly, speed of sound, and second-, fourth-, and sixth-order quark number susceptibilities. For all observables considered we find good agreement between our three-loop HTLpt calculations and available lattice data for temperatures above approximately 300 MeV.
{ "_oai": { "updated": "2018-05-01T10:49:00Z", "id": "oai:repo.scoap3.org:2371" }, "authors": [ { "raw_name": "Haque, Najmul", "affiliations": [ { "country": "India", "value": "Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700107, India" } ], "surname": "Haque", "given_names": "Najmul", "full_name": "Haque, Najmul" }, { "raw_name": "Bandyopadhyay, Aritra", "affiliations": [ { "country": "India", "value": "Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700107, India" } ], "surname": "Bandyopadhyay", "given_names": "Aritra", "full_name": "Bandyopadhyay, Aritra" }, { "raw_name": "Andersen, Jens", "affiliations": [ { "country": "Norway", "value": "Department of Physics, Norwegian University of Science and Technology, N-7491, Trondheim, Norway" } ], "surname": "Andersen", "given_names": "Jens", "full_name": "Andersen, Jens" }, { "raw_name": "Mustafa, Munshi", "affiliations": [ { "country": "India", "value": "Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700107, India" } ], "surname": "Mustafa", "given_names": "Munshi", "full_name": "Mustafa, Munshi" }, { "raw_name": "Strickland, Michael", "affiliations": [ { "country": "USA", "value": "Department of Physics, Kent State University, Kent, Ohio, 44242, United States" } ], "surname": "Strickland", "given_names": "Michael", "full_name": "Strickland, Michael" }, { "raw_name": "Su, Nan", "affiliations": [ { "country": "Germany", "value": "Faculty of Physics, University of Bielefeld, D-33615, Bielefeld, Germany" } ], "surname": "Su", "given_names": "Nan", "full_name": "Su, Nan" } ], "titles": [ { "source": "Springer/SISSA", "title": "Three-loop HTLpt thermodynamics at finite temperature and chemical potential" } ], "dois": [ { "value": "10.1007/JHEP05(2014)027" } ], "publication_info": [ { "page_start": "027", "material": "article", "journal_title": "Journal of High Energy Physics", "year": 2014 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2014-05-08T00:00:00", "source": "Springer/SISSA", "method": "scoap3", "submission_number": "6f4b628e4d2711e8b67702163e01809a" }, "page_nr": [ 46 ], "license": [ { "url": "http://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "The Author(s)" } ], "control_number": "2371", "record_creation_date": "2014-05-08T00:00:00", "_files": [ { "checksum": "md5:40b9d0e590b6df5c38c314e23cb19f58", "filetype": "xml", "bucket": "5fdff361-0b2b-4128-ad7c-b1d0d2985fda", "version_id": "cdc6a909-9d9b-455d-8485-5c72c445d8a3", "key": "10.1007/JHEP05(2014)027.xml", "size": 124030 }, { "checksum": "md5:b1f337ac6c5a93dfbc00a5400292ed12", "filetype": "pdf/a", "bucket": "5fdff361-0b2b-4128-ad7c-b1d0d2985fda", "version_id": "d2dccaad-12ca-41e6-a992-00ed0129b613", "key": "10.1007/JHEP05(2014)027_a.pdf", "size": 1143115 } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-lat", "nucl-th" ], "value": "1402.6907" } ], "abstracts": [ { "source": "Springer/SISSA", "value": "We calculate the three-loop thermodynamic potential of QCD at finite temperature and chemical potential(s) using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and density QCD. The resulting analytic thermodynamic potential allows us to compute the pressure, energy density, and entropy density of the quark-gluon plasma. Using these we calculate the trace anomaly, speed of sound, and second-, fourth-, and sixth-order quark number susceptibilities. For all observables considered we find good agreement between our three-loop HTLpt calculations and available lattice data for temperatures above approximately 300 MeV." } ], "imprints": [ { "date": "2014-05-07", "publisher": "Springer/SISSA" } ] }