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arXiv · hep-lat/0309009

SU(N) Gauge Theories Near $T_c$

B. Lucini·M. Teper·U. Wenger
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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 $T_c/\sqrtσ$ 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.

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B. Lucini, M. Teper, U. Wenger. 2003-09-02. SU(N) Gauge Theories Near $T_c$. https://doi.org/10.1016/s0920-5632(03)02644-6

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