Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories

TL;DR

This paper investigates IR/UV mixing in noncommutative supersymmetric Yang-Mills theories, demonstrating that mixed contributions can be captured by an effective action involving open Wilson lines, using background field perturbation theory.

Contribution

It introduces a gauge-invariant effective action with open Wilson lines that reproduces IR/UV mixing effects in noncommutative supersymmetric gauge theories.

Findings

IR/UV mixing effects are captured by an effective action.

Open Wilson lines encode the IR/UV mixing contributions.

Computed three- and four-point functions confirm the approach.

Abstract

We study IR/UV mixing effects in noncommutative supersymmetric Yang-Mills theories with gauge group U(N) using background field perturbation theory. We compute three- and four-point functions of background fields, and show that the IR/UV mixed contributions to these correlators can be reproduced from an explicitly gauge-invariant effective action, which is expressed in terms of open Wilson lines.