UV/IR mixing in noncommutative SU(N) Yang–Mills 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 $$\theta $$ θ -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 varian...

Full description

Bibliographic Details
Main Authors: C. P. Martin, J. Trampetic, J. You
Format: Article
Language:English
Published: SpringerOpen 2021-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09686-5
Description
Summary: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 $$\theta $$ θ -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.
ISSN:1434-6044
1434-6052