UV/IR mixing in noncommutative SU(N) Yang–Mills theory

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 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 noncommut...

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Veröffentlicht in:	The European physical journal. C, Particles and fields Particles and fields, 2021-10, Vol.81 (10), p.1-18, Article 878
Hauptverfasser:	Martin, C. P., Trampetic, J., You, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Astronomy Astrophysics and Cosmology Elementary Particles Gravity Hadrons Heavy Ions Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article - Theoretical Physics Singularities Spacetime String Theory Yang-Mills theory
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Zusammenfassung:	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 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
DOI:	10.1140/epjc/s10052-021-09686-5