On highorder perturbative calculations at finite density
We discuss the prospects of performing highorder 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 threedimensional phase space integrals over vacuum onshell amplitudes — aresult reminiscent of a previously proposed “naive realtime 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.
 Authors:

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 Univ. of Helsinki (Finland)
 Univ. of Colorado, Boulder, CO (United States); Univ. of Helsinki (Finland)
 European Organization for Nuclear Research (CERN), Geneva (Switzerland); Univ. of Stavanger (Norway)
 Univ. of Colorado, Boulder, CO (United States)
 Publication Date:
 Grant/Contract Number:
 SC0008132
 Type:
 Published Article
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 915; Journal Issue: C; Journal ID: ISSN 05503213
 Publisher:
 Elsevier
 Research Org:
 Univ. of Colorado, Boulder, CO (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
 OSTI Identifier:
 1334682
 Alternate Identifier(s):
 OSTI ID: 1366696
Ghisoiu, Ioan, Gorda, Tyler, Kurkela, Aleksi, Romatschke, Paul, Sappi, Matias, and Vuorinen, Aleksi. On highorder perturbative calculations at finite density. United States: N. p.,
Web. doi:10.1016/j.nuclphysb.2016.11.023.
Ghisoiu, Ioan, Gorda, Tyler, Kurkela, Aleksi, Romatschke, Paul, Sappi, Matias, & Vuorinen, Aleksi. On highorder perturbative calculations at finite density. United States. doi:10.1016/j.nuclphysb.2016.11.023.
Ghisoiu, Ioan, Gorda, Tyler, Kurkela, Aleksi, Romatschke, Paul, Sappi, Matias, and Vuorinen, Aleksi. 2016.
"On highorder perturbative calculations at finite density". United States.
doi:10.1016/j.nuclphysb.2016.11.023.
@article{osti_1334682,
title = {On highorder perturbative calculations at finite density},
author = {Ghisoiu, Ioan and Gorda, Tyler and Kurkela, Aleksi and Romatschke, Paul and Sappi, Matias and Vuorinen, Aleksi},
abstractNote = {We discuss the prospects of performing highorder 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 threedimensional phase space integrals over vacuum onshell amplitudes — aresult reminiscent of a previously proposed “naive realtime 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.},
doi = {10.1016/j.nuclphysb.2016.11.023},
journal = {Nuclear Physics. B},
number = C,
volume = 915,
place = {United States},
year = {2016},
month = {12}
}