Friday, February 1, 2013

1301.7432 (Shu Lin et al.)

Zero interface tension at the deconfining phase transition for a matrix
model of a $SU(\infty)$ gauge theory
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Shu Lin, Robert D. Pisarski, Vladimir V. Skokov
Using a matrix model, we model the deconfining phase transition at nonzero temperature for a SU(N) gauge theory at large $N$. At infinite $N$ the matrix model exhibits a Gross-Witten-Wadia transition. We show that as a consequence, both the order-disorder and the order-order interface tensions vanish identically at the critical temperature $T_d$. We estimate how these quantities vanish in the matrix model as $T \rightarrow T_d$ and as $N \rightarrow \infty$. The numerical solution of the matrix model suggests possible non-monotonic behavior in $N$ for relatively small values of $N \sim 5$.
View original: http://arxiv.org/abs/1301.7432

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