Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories

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 fini...

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Bibliographic Details
Published in:arXiv.org 2001-10
Main Authors: Ardalan, Farhad, Sadooghi, Neda
Format: Article
Language:English
Subjects:
Anomalies
Gauge theory
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0009233