https://doi.org/10.1140/epjc/s10052-021-09686-5
Regular Article - Theoretical Physics
UV/IR mixing in noncommutative SU(N) Yang–Mills theory
1
Departamento de Física Teórica and IPARCOS, Facultad de Ciencias Físicas, Universidad Complutense de Madrid (UCM), 28040, Madrid, Spain
2
Division of Experimental Physics, Ruđer Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
3
Max-Planck-Institut für Physik, (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805, Munich, Germany
4
Division of Physical Chemistry, Ruđer Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
b josip.trampetic@irb.hr, trampeti@mppmu.mpg.de
Received:
9
July
2021
Accepted:
27
September
2021
Published online:
6
October
2021
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 -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.
© The Author(s) 2021
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