The UV and IR Origin of Nonabelian Chiral Gauge Anomalies on Noncommutative Minkowski Space-time

Abstract

We discuss both the UV and IR origin of the one-loop triangle gauge anomalies for noncommutative nonabelian chiral gauge theories with fundamental, adjoint and bi-fundamental fermions for U(N) groups. We find that gauge anomalies only come from planar triangle diagrams, the non-planar triangle contributions giving rise to no breaking of the Ward identies. Generally speaking, theories with fundamental and bi-fundamental chiral matter are anomalous. Theories with only adjoint chiral fermions are anomaly free.

PlainTex, 21 pages, 2 eps figures, corrected some typos

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