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

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.

23 pages, 8 figures. v2: new section and references added, effective action expressed only in terms of open Wilson lines operators