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Title: Conundrum for the free energy of a holonomous gluonic plasma at cubic order

Abstract

We compute the term ~ g 3 in the free energy for a S U ( N ) gauge theory with nonzero holonomy at nonzero temperature. If the holonomy is generated kinematically by the introduction of gauge invariant sources coupled to Polyakov loops, the contribution of charged (off-diagonal) gluons to the free energy at order g 3 , F ( 3 : c . g . ) , is singular: F ( 3 : c . g . ) 0 without holonomy, but F ( 3 : c . g . ) = 0 when the holonomy is nonzero, even infinitesimally. We show that the absence of the charged gluon contribution is required by gauge invariance alone and is therefore a universal feature.

Authors:
; ORCiD logo; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); RIKEN; Japan Society for the Promotion of Science (JSPS)
OSTI Identifier:
1601687
Alternate Identifier(s):
OSTI ID: 1616440
Report Number(s):
BNL-213869-2020-JAAM
Journal ID: ISSN 0370-2693; S0370269320301404; 135336; PII: S0370269320301404
Grant/Contract Number:  
SC0012704; SC0020081; 18H01217
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 803 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Korthals Altes, Christiaan P., Nishimura, Hiromichi, Pisarski, Robert D., and Skokov, Vladimir V. Conundrum for the free energy of a holonomous gluonic plasma at cubic order. Netherlands: N. p., 2020. Web. doi:10.1016/j.physletb.2020.135336.
Korthals Altes, Christiaan P., Nishimura, Hiromichi, Pisarski, Robert D., & Skokov, Vladimir V. Conundrum for the free energy of a holonomous gluonic plasma at cubic order. Netherlands. doi:10.1016/j.physletb.2020.135336.
Korthals Altes, Christiaan P., Nishimura, Hiromichi, Pisarski, Robert D., and Skokov, Vladimir V. Wed . "Conundrum for the free energy of a holonomous gluonic plasma at cubic order". Netherlands. doi:10.1016/j.physletb.2020.135336.
@article{osti_1601687,
title = {Conundrum for the free energy of a holonomous gluonic plasma at cubic order},
author = {Korthals Altes, Christiaan P. and Nishimura, Hiromichi and Pisarski, Robert D. and Skokov, Vladimir V.},
abstractNote = {We compute the term ~g3 in the free energy for a SU(N) gauge theory with nonzero holonomy at nonzero temperature. If the holonomy is generated kinematically by the introduction of gauge invariant sources coupled to Polyakov loops, the contribution of charged (off-diagonal) gluons to the free energy at order g3, F(3:c.g.), is singular: F(3:c.g.)≠0 without holonomy, but F(3:c.g.)=0 when the holonomy is nonzero, even infinitesimally. We show that the absence of the charged gluon contribution is required by gauge invariance alone and is therefore a universal feature.},
doi = {10.1016/j.physletb.2020.135336},
journal = {Physics Letters B},
number = C,
volume = 803,
place = {Netherlands},
year = {2020},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.physletb.2020.135336

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Cited by: 1 work
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