Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories
High Energy Physics - Theory
2009-10-31 v2
Abstract
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 -product of gauge fields.
Cite
@article{arxiv.hep-th/0009233,
title = {Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories},
author = {Farhad Ardalan and Neda Sadooghi},
journal= {arXiv preprint arXiv:hep-th/0009233},
year = {2009}
}
Comments
28 pages, Latex, axodraw.sty; v2: version to appear in Int. J. Mod. Phys. A. (2001)