Metastable vacuum decay in center-stabilized Yang-Mills theory at large N

Abstract

We calculate the rate of the decay of a metastable vacuum state in $SU(N)$ gauge theory on ${\mathbb{R}}^3\times {\mathbb{S}}^1$ space with a double trace deformation suggested by Ünsal and Yaffe. The derived analytical expression for the exponential factor in the decay rate, including the dependence on the parameter $\theta$, gives the exact behavior in the leading power of $N$ in the limit of large $N$ and provides a better approximation than a recently found in the literature numerical result.

Comments: 8 pages, 1 figure