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

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doi:10.1016/j.physletb.2020.135336

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

Journal Article · 26 February 2020 · Physics Letters. B

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

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

Grant/Contract Number:: SC0012704; 18H01217; SC0020081

OSTI ID:: 1601687

Alternate ID(s):: OSTI ID: 1616440

Report Number(s):: BNL-213869-2020-JAAM; TRN: US2106451

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

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Resummed Gluon Propagator and Debye Screening Effect in a Holonomous Plasma Guo, Yun; Kuang, Zhenpeng arXiv https://doi.org/10.48550/arxiv.2009.01516	text	January 2020