UV/IR Mixing and Anomalies in Noncommutative Gauge Theories

Details UV/IR Mixing and Anomalies in Noncommutative Gauge Theories UV/IR Mixing and Anomalies in Noncommutative Gauge Theories

2002-05-07

arxiv.org/abs/hep-th/0205058v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures, LaTeX, minor corrections and references added

Scientific paper

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 $\widetilde{p}^{\mu}(\equiv \theta^{\mu\nu}p_{\nu}) \to 0$. 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.

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