A new type of loop independence and SU(N) quantum Yang–Mills theory in two dimensions

Abstract

The expectation values of Wilson loop products for the pure Euclidean Yang–Mills theory on R×R given by Ashtekar et al. in the article “SU(N) Quantum Yang–Mills Theory in Two Dimensions: A Complete Solution” [J. Math. Phys. 38, 5453 (1997)] are determined directly for all piecewise analytic loops. For that purpose we enlarge their calculations from quadratic lattices to general floating lattices introducing a new kind of loop independence and slightly modifying the regularization scheme.