On high-order perturbative calculations at finite density
Abstract
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 — aresult 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.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Colorado, Boulder, CO (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1334682
- Alternate Identifier(s):
- OSTI ID: 1366696
- Grant/Contract Number:
- SC0008132
- Resource Type:
- Published Article
- Journal Name:
- Nuclear Physics. B
- Additional Journal Information:
- Journal Name: Nuclear Physics. B Journal Volume: 915 Journal Issue: C; Journal ID: ISSN 0550-3213
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Ghişoiu, Ioan, Gorda, Tyler, Kurkela, Aleksi, Romatschke, Paul, Säppi, Saga, and Vuorinen, Aleksi. On high-order perturbative calculations at finite density. Netherlands: N. p., 2017.
Web. doi:10.1016/j.nuclphysb.2016.11.023.
Ghişoiu, Ioan, Gorda, Tyler, Kurkela, Aleksi, Romatschke, Paul, Säppi, Saga, & Vuorinen, Aleksi. On high-order perturbative calculations at finite density. Netherlands. https://doi.org/10.1016/j.nuclphysb.2016.11.023
Ghişoiu, Ioan, Gorda, Tyler, Kurkela, Aleksi, Romatschke, Paul, Säppi, Saga, and Vuorinen, Aleksi. Wed .
"On high-order perturbative calculations at finite density". Netherlands. https://doi.org/10.1016/j.nuclphysb.2016.11.023.
@article{osti_1334682,
title = {On high-order perturbative calculations at finite density},
author = {Ghişoiu, Ioan and Gorda, Tyler and Kurkela, Aleksi and Romatschke, Paul and Säppi, Saga and Vuorinen, Aleksi},
abstractNote = {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 — aresult 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.},
doi = {10.1016/j.nuclphysb.2016.11.023},
journal = {Nuclear Physics. B},
number = C,
volume = 915,
place = {Netherlands},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}
}
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https://doi.org/10.1016/j.nuclphysb.2016.11.023
https://doi.org/10.1016/j.nuclphysb.2016.11.023
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