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

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.
Authors:
 [1] ;  [1] ;  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Report Number(s):
RBRC-1277; BNL-203565-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1802688
Grant/Contract Number:
SC0012704
Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); RIKEN
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1421295
Alternate Identifier(s):
OSTI ID: 1434786

Nishimura, Hiromichi, Pisarski, Robert D., and Skokov, Vladimir V.. Finite-temperature phase transitions of third and higher order in gauge theories at large N. United States: N. p., Web. doi:10.1103/PhysRevD.97.036014.
Nishimura, Hiromichi, Pisarski, Robert D., & Skokov, Vladimir V.. Finite-temperature phase transitions of third and higher order in gauge theories at large N. United States. doi:10.1103/PhysRevD.97.036014.
Nishimura, Hiromichi, Pisarski, Robert D., and Skokov, Vladimir V.. 2018. "Finite-temperature phase transitions of third and higher order in gauge theories at large N". United States. doi:10.1103/PhysRevD.97.036014.
@article{osti_1421295,
title = {Finite-temperature phase transitions of third and higher order in gauge theories at large N},
author = {Nishimura, Hiromichi and Pisarski, Robert D. and Skokov, Vladimir V.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.97.036014},
journal = {Physical Review D},
number = 3,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}