Loop-space hamiltonians and numerical methods for large- N gauge theories (II)

Abstract

We generalize our numerical loop-space methods to consider the full large- N Yang-Mills problem. First we study the weak-coupling phase in loop space and derive the equation obeyed by spacelike Wilson loops. We then consider the problem of topological reduction and derive the effective potential for topologically distinct loops. In connection with numerical computations we discuss the issues of truncation of the system. We present an initial numerical result for a simplest truncation of the full (2+1)-dimensional Yang-Mills theory.