We discuss the prospects of performing high-order perturbative calculations in systems characterized by a vanishing temperature but finite density. In particular, we show that the determination of generic Feynman integrals containing fermionic chemical potentials can be reduced to the evaluation of three-dimensional phase space integrals over vacuum on-shell amplitudes — a result reminiscent of a previously proposed “naive real-time formalism” for vacuum diagrams. Applications of these rules are discussed in the context of the thermodynamics of cold and dense QCD, where it is argued that they facilitate an extension of the Equation of State of cold quark matter to higher perturbative orders.
{
"_oai": {
"updated": "2023-02-03T18:31:28Z",
"id": "oai:repo.scoap3.org:18152",
"sets": [
"NPB"
]
},
"authors": [
{
"affiliations": [
{
"country": "Finland",
"value": "Helsinki Institute of Physics, Department of Physics, University of Helsinki, Finland"
}
],
"surname": "Ghi\u015foiu",
"email": "ioan.ghisoiu@helsinki.fi",
"full_name": "Ghi\u015foiu, Ioan",
"given_names": "Ioan"
},
{
"affiliations": [
{
"country": "Finland",
"value": "Helsinki Institute of Physics, Department of Physics, University of Helsinki, Finland"
},
{
"country": "USA",
"value": "Department of Physics, University of Colorado Boulder, Boulder, USA"
}
],
"surname": "Gorda",
"email": "tyler.gorda@helsinki.fi",
"full_name": "Gorda, Tyler",
"given_names": "Tyler"
},
{
"affiliations": [
{
"country": "CERN",
"value": "Theoretical Physics Department, CERN, Geneva, Switzerland"
},
{
"country": "Norway",
"value": "Faculty of Science and Technology, University of Stavanger, Stavanger, Norway"
}
],
"surname": "Kurkela",
"email": "aleksi.kurkela@cern.ch",
"full_name": "Kurkela, Aleksi",
"given_names": "Aleksi"
},
{
"affiliations": [
{
"country": "USA",
"value": "Department of Physics, University of Colorado Boulder, Boulder, USA"
},
{
"country": "USA",
"value": "Center for Theory of Quantum Matter, University of Colorado, Boulder, USA"
}
],
"surname": "Romatschke",
"email": "paul.romatschke@colorado.edu",
"full_name": "Romatschke, Paul",
"given_names": "Paul"
},
{
"affiliations": [
{
"country": "Finland",
"value": "Helsinki Institute of Physics, Department of Physics, University of Helsinki, Finland"
}
],
"surname": "S\u00e4ppi",
"email": "saga.sappi@helsinki.fi",
"full_name": "S\u00e4ppi, Saga",
"given_names": "Saga"
},
{
"affiliations": [
{
"country": "Finland",
"value": "Helsinki Institute of Physics, Department of Physics, University of Helsinki, Finland"
}
],
"surname": "Vuorinen",
"email": "aleksi.vuorinen@helsinki.fi",
"full_name": "Vuorinen, Aleksi",
"given_names": "Aleksi"
}
],
"titles": [
{
"source": "Elsevier",
"title": "On high-order perturbative calculations at finite density"
}
],
"dois": [
{
"value": "10.1016/j.nuclphysb.2016.11.023"
}
],
"publication_info": [
{
"page_end": "118",
"journal_title": "Nuclear Physics B",
"material": "article",
"journal_volume": "915 C",
"artid": "13932",
"year": 2016,
"page_start": "102"
}
],
"$schema": "http://repo.scoap3.org/schemas/hep.json",
"acquisition_source": {
"date": "2023-02-03T18:30:43.780196",
"source": "Elsevier",
"method": "Elsevier",
"submission_number": "c46cf500a3f011ed9a680e231c257137"
},
"page_nr": [
17
],
"license": [
{
"url": "http://creativecommons.org/licenses/by/3.0/",
"license": "CC-BY-3.0"
}
],
"copyright": [
{
"holder": "The Author(s)",
"statement": "The Author(s)",
"year": "2016"
}
],
"control_number": "18152",
"record_creation_date": "2016-12-01T00:00:00",
"_files": [
{
"checksum": "md5:413371025d0f07ed6540b866ac969cd4",
"filetype": "xml",
"bucket": "1b576a3c-b332-4e4c-b7ee-f41d5c126773",
"version_id": "4332ed1b-a855-406c-a191-d5491b7060fa",
"key": "10.1016/j.nuclphysb.2016.11.023.xml",
"size": 260280
},
{
"checksum": "md5:3258075f5c95981c6b424e4d5a458143",
"filetype": "pdf",
"bucket": "1b576a3c-b332-4e4c-b7ee-f41d5c126773",
"version_id": "79491be0-f4d7-4ffd-b208-9391b5dc9b55",
"key": "10.1016/j.nuclphysb.2016.11.023.pdf",
"size": 352747
},
{
"checksum": "md5:8eeeef7f6a9336e2e5680fb750f2a1cc",
"filetype": "pdf/a",
"bucket": "1b576a3c-b332-4e4c-b7ee-f41d5c126773",
"version_id": "a2ebe4ea-256d-4d31-9fee-e7f75ab3e424",
"key": "10.1016/j.nuclphysb.2016.11.023_a.pdf",
"size": 697740
}
],
"collections": [
{
"primary": "Nuclear Physics B"
}
],
"abstracts": [
{
"source": "Elsevier",
"value": "We discuss the prospects of performing high-order perturbative calculations in systems characterized by a vanishing temperature but finite density. In particular, we show that the determination of generic Feynman integrals containing fermionic chemical potentials can be reduced to the evaluation of three-dimensional phase space integrals over vacuum on-shell amplitudes \u2014 a result reminiscent of a previously proposed \u201cnaive real-time formalism\u201d for vacuum diagrams. Applications of these rules are discussed in the context of the thermodynamics of cold and dense QCD, where it is argued that they facilitate an extension of the Equation of State of cold quark matter to higher perturbative orders."
}
],
"imprints": [
{
"date": "2016-12-01",
"publisher": "Elsevier"
}
]
}