UV/IR mixing in Noncommutative SU(N) Yang-Mills theory

TL;DR

This paper investigates UV/IR mixing in noncommutative SU(N) Yang-Mills theory, revealing one-loop IR singularities despite the absence of U(1) gauge fields, contrasting with the U(N) case.

Contribution

It demonstrates the presence of UV/IR mixing-induced IR singularities in noncommutative SU(N) Yang-Mills theory using the $ heta$-exact Seiberg-Witten map, unlike the U(N) case.

Findings

One-loop IR singularities are present in SU(N) case.

UV/IR mixing occurs without U(1) gauge fields.

Contrasts with noncommutative U(N) theory.

Abstract

We show that there are one-loop IR singularities arising from UV/IR mixing in noncommutative SU(N) Yang-Mills theory defined by means of the $\theta$-exact Seiberg-Witten map. This is in spite of the fact that there are no ordinary U(1) gauge fields in the theory and this is at variance with the noncommutative U(N) case, where the two-point part of the effective action involving the ordinary SU(N) fields do not suffer from those one-loop IR singularities.