Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories

Details Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories

2000-09-28

arxiv.org/abs/hep-th/0009233v2

Int.J.Mod.Phys. A17 (2002) 123

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Latex, axodraw.sty; v2: version to appear in Int. J. Mod. Phys. A. (2001)

Scientific paper

10.1142/S0217751X02005694

Anomalies arising from nonplanar triangle diagrams of noncommutative gauge theory are studied. Local chiral gauge anomalies for both noncommutative U(1) and U(N) gauge theories with adjoint matter fields are shown to vanish. For noncommutative QED with fundamental matters, due to UV/IR mixing a finite anomaly emerges from the nonplanar contributions. It involves a generalized $\star$-product of gauge fields.

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