Wilson loop in 2d noncommutative gauge theories

TL;DR

This paper investigates the perturbative expansion of Wilson loops in two-dimensional noncommutative gauge theories, introducing an improved method and deriving a general formula for maximally crossed diagrams in the large noncommutativity limit.

Contribution

It presents a novel integration technique and a general formula for maximally crossed diagrams, advancing understanding of Wilson loops in noncommutative gauge theories.

Findings

Derived a formula for maximally crossed diagrams at large theta

Introduced an improved integration method for perturbative expansion

Generalized results to all orders in perturbation theory

Abstract

We reconsider the perturbative expansion of the Wilson loop in 2d noncommutative gauge theories, using an improved integration method. For the class of maximally crossed diagrams in the $\theta \to \infty$ limit we find an intriguing formula, easily generalizable to all orders in perturbation theory.