Zero interface tension at the deconfining phase transition for a matrix model of a $SU(\infty)$ gauge theory

Understand

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 $N \rightarrow \infty$.