UV/IR mixing in noncommutative SU(N) Yang-Mills theory
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2021
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Springer
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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.
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© 2021 Springer
The work by C.P. Martin has been financially supported in part by the Spanish MINECO through grant PGC2018-095382-B-I00. J.Trampetic would like thank Dieter Lust for many discussions and to acknowledge support of Max-Planck-Institute for Physics, Munchen, for hospitality. The work of J.You has been supported by Croatian Science Foundation.