Effective models of a semi-quark-gluon plasma
Abstract
In the deconfined regime of a non-Abelian gauge theory at nonzero temperature, previously it was argued that if a (gauge invariant) source is added to generate nonzero holonomy, that this source must be linear for small holonomy. The simplest example of this is the second Bernoulli polynomial. However, then there is a conundrum in computing the free energy to ~ g 3 in the coupling constant g, as part of the free energy is discontinuous as the holonomy vanishes. In this paper we investigate two ways of generating the second Bernoulli polynomial dynamically: as a mass derivative of an auxiliary field, and from two dimensional ghosts embedded isotropically in four dimensions. Computing the holonomous hard thermal loop (HHTL) in the gluon self-energy, we find that the limit of small holonomy is only well behaved for two dimensional ghosts, with a free energy which to ~ g 3 is continuous as the holonomy vanishes.
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1828228
- Alternate Identifier(s):
- OSTI ID: 1822353
- Report Number(s):
- BNL-222164-2021-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 074036
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Hidaka, Yoshimasa, and Pisarski, Robert D. Effective models of a semi-quark-gluon plasma. United States: N. p., 2021.
Web. doi:10.1103/PhysRevD.104.074036.
Hidaka, Yoshimasa, & Pisarski, Robert D. Effective models of a semi-quark-gluon plasma. United States. https://doi.org/10.1103/PhysRevD.104.074036
Hidaka, Yoshimasa, and Pisarski, Robert D. Fri .
"Effective models of a semi-quark-gluon plasma". United States. https://doi.org/10.1103/PhysRevD.104.074036.
@article{osti_1828228,
title = {Effective models of a semi-quark-gluon plasma},
author = {Hidaka, Yoshimasa and Pisarski, Robert D.},
abstractNote = {In the deconfined regime of a non-Abelian gauge theory at nonzero temperature, previously it was argued that if a (gauge invariant) source is added to generate nonzero holonomy, that this source must be linear for small holonomy. The simplest example of this is the second Bernoulli polynomial. However, then there is a conundrum in computing the free energy to ~ g 3 in the coupling constant g, as part of the free energy is discontinuous as the holonomy vanishes. In this paper we investigate two ways of generating the second Bernoulli polynomial dynamically: as a mass derivative of an auxiliary field, and from two dimensional ghosts embedded isotropically in four dimensions. Computing the holonomous hard thermal loop (HHTL) in the gluon self-energy, we find that the limit of small holonomy is only well behaved for two dimensional ghosts, with a free energy which to ~ g 3 is continuous as the holonomy vanishes.},
doi = {10.1103/PhysRevD.104.074036},
journal = {Physical Review D},
number = 7,
volume = 104,
place = {United States},
year = {Fri Oct 29 00:00:00 EDT 2021},
month = {Fri Oct 29 00:00:00 EDT 2021}
}
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