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

Korthals Altes, Christiaan P.; Nishimura, Hiromichi; Pisarski, Robert D.; Skokov, Vladimir V.

doi:10.1016/j.physletb.2020.135336

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

Journal Article · 25 February 2020 · Physics Letters. B

DOI: https://doi.org/10.1016/j.physletb.2020.135336 · OSTI ID:1601687

Korthals Altes, Christiaan P.;

; Pisarski, Robert D.; Skokov, Vladimir V.

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: $F^{(3 : c . g .)} \neq 0$ 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.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: Japan Society for the Promotion of Science (JSPS); RIKEN; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: SC0012704; SC0020081

OSTI ID:: 1601687

Report Number(s):: BNL--213869-2020-JAAM; S0370269320301404; 135336; PII: S0370269320301404

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Journal Issue: C Vol. 803; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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