SU(N) Gauge Theories Near $T_c$

Abstract

We study the deconfinement phase transition in SU(N) gauge theories for $N$=2,3,4,6,8. The transition is first order for $N\ge 3$, with the strength increasing as $N$ increases. We extrapolate $T_c/\sqrt{\sigma }$ to the continuum limit for each $N$, and observe a rapid approach to the large $N$ limit. As $N$ increases the phase transition becomes clear-cut on smaller spatial volumes, indicating the absence of (non-singular) finite volume corrections at $N=\infty$ -- reminiscent of large $N$ reduction. The observed rapid increase of the inter-phase surface tension with $N$ may indicate that for $N=\infty$ the deconfinement transition cannot, in practise, occur.

arXiv commentLattice2003(nonzero)

References in corpus (2)

• SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
• The deconfinement transition in SU(N) gauge theories

Cited by in corpus (4)

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• Quarkyonic Matter and Chiral Symmetry Breaking
• Computation of the string tension in four-dimensional Yang-Mills theory using large N reduction
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops