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.

arXiv comment23 pages, 8 figures. v2: new section and references added, effective action expressed only in terms of open Wilson lines operators

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Cited by in corpus (4)

• Noncommutative Standard Modelling
• A New Approach to Non-Commutative U(N) Gauge Fields
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• N=1/2 Supersymmetric gauge theory in noncommutative space