Finite-temperature phase transitions of third and higher order in gauge theories at large N

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

doi:10.1103/PhysRevD.97.036014

Title: Finite-temperature phase transitions of third and higher order in gauge theories at large $N$

Journal Article · Thu Feb 15 00:00:00 EST 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.036014· OSTI ID:1421295

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

We study phase transitions in SU(∞) gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the various parameters, related to terms linear, quadratic, and quartic in the Polyakov loop, the phase diagram exhibits a universal structure. In a large region of this parameter space, there is a continuous phase transition whose order is larger than second. This is a generalization of the phase transition of Gross, Witten, and Wadia (GWW). Depending upon the detailed form of the matrix model, the eigenvalue density and the behavior of the specific heat near the transition differ drastically. Here, we speculate that in the pure gauge theory, that although the deconfining transition is thermodynamically of first order, it can be nevertheless conformally symmetric at infnite N.

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); RIKEN

Grant/Contract Number:: SC0012704

OSTI ID:: 1421295

Alternate ID(s):: OSTI ID: 1434786

Report Number(s):: RBRC-1277; BNL-203565-2018-JAAM; PRVDAQ; 036014

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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