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arXiv · hep-th/0205058

UV/IR Mixing and Anomalies in Noncommutative Gauge Theories

Tadahito Nakajima
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Abstract

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 $\widetilde{p}^μ(\equiv θ^{μν}p_ν) \to 0$. 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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Tadahito Nakajima. 2002-10-20. UV/IR Mixing and Anomalies in Noncommutative Gauge Theories. https://doi.org/10.1103/physrevd.68.065014

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