UV/IR Mixing and Anomalies in Noncommutative Gauge Theories

الأصل · EN

Using path integral method (Fujikawa's method) we calculate anomalies in noncommutative gauge theories with fermions in the bi-fundamental and adjoint representations. We find that axial and chiral gauge anomalies coming from non-planar contributions are derived in the low noncommutative momentum limit pμ(≡ θμνpν) → 0. The adjoint chiral fermion carries no anomaly in the non-planar sector in D=4k (k=1,2,...,) dimensions. It is naturally shown from the path integral method that anomalies in non-planar sector originate in UV/IR mixing.