Maps for currents and anomalies in noncommutative gauge theories

Details Maps for currents and anomalies in noncommutative gauge theories Maps for currents and anomalies in noncommutative gauge theories

2004-04-16

arxiv.org/abs/hep-th/0404110v2

Phys. Rev. D 71 (2005) 045013

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX, title shortened, last section expanded

Scientific paper

10.1103/PhysRevD.71.045013

We derive maps relating currents and their divergences in non-abelian U(N) noncommutative gauge theory with the corresponding expressions in the ordinary (commutative) description. For the U(1) theory, in the slowly-varying-field approximation, these maps are also seen to connect the star-gauge-covariant anomaly in the noncommutative theory with the standard Adler--Bell--Jackiw anomaly in the commutative version. For arbitrary fields, derivative corrections to the maps are explicitly computed up to O(\theta^2).

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