The String Calculation of QCD Wilson Loops on Arbitrary Surfaces

TL;DR

This paper derives compact string representations for non-intersecting Wilson loops in SU(N) Yang-Mills theory on arbitrary surfaces, incorporating all contributions from the 1/N expansion's coupled chiral sectors.

Contribution

It provides a unified string-based formula for Wilson loops on any surface, including nonorientable ones, encompassing all 1/N expansion terms.

Findings

Derived explicit string expressions for Wilson loops on arbitrary surfaces.

Included all coupled chiral sector contributions in the expansion.

Applicable to both orientable and nonorientable surfaces.

Abstract

Compact string expressions are found for non-intersecting Wilson loops in SU(N) Yang-Mills theory on any surface (orientable or nonorientable) as a weighted sum over covers of the surface. All terms from the coupled chiral sectors of the 1/N expansion of the Wilson loop expectation values are included.