Wilson Loops in Noncommutative Yang Mills

TL;DR

This paper investigates Wilson loop correlation functions in noncommutative Yang-Mills theory, revealing a crossover at the noncommutativity scale and connecting these results to supergravity and Seiberg-Witten theory.

Contribution

It provides a new analysis of Wilson loops in noncommutative Yang-Mills, demonstrating their behavior across energy scales and linking to supergravity and matrix model descriptions.

Findings

Wilson loops behave as extended objects at high momentum

Correlation functions show a crossover at the noncommutativity scale

Results align with supergravity and Seiberg-Witten formalism

Abstract

We study the correlation functions of the Wilson loops in noncommutative Yang-Mills theory based upon its equivalence to twisted reduced models. We point out that there is a crossover at the noncommutativity scale. At large momentum scale, the Wilson loops in noncommmutative Yang-Mills represent extended objects. They coincide with those in ordinary Yang-Mills theory in low energy limit. The correlation functions on D-branes in IIB matrix model exhibit the identical crossover behavior. It is observed to be consistent with the supergravity description with running string coupling. We also explain that the results of Seiberg and Witten can be simply understood in our formalism.