Large N corrections to the strong coupling behaviour of SU(N)/Z_N lattice gauge theories

TL;DR

This paper derives a formula for large N behavior of Wilson loop expectation values in SU(N)/Z_N lattice gauge theories, enabling analysis of strong coupling limits and corrections in various related models.

Contribution

It introduces a new formula for large N Wilson loop expectations and applies it to analyze strong coupling behavior in SU(N)/Z_N theories and related models.

Findings

Large N corrections to gluino condensate calculated

Insights into meson propagators at large N

Applications to Kazakov-Migdal model's strong coupling regime

Abstract

We derive a formula for the large N behaviour of the expectation values of an arbitrary product of Wilson loops in the adjoint representation. We show the consequences of our formula for the study of the large N strong coupling behaviour of SU(N)/Z_N pure gauge theories, and theories with matter fields in the adjoint representation. This allows us to calculate large N corrections to the gluino condensate and meson propagators in the lattice version of Supersymmetric Yang-Mills. Applications to the strong coupling behaviour of the Kazakov-Migdal model are also given.