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Maps for currents and anomalies in noncommutative gauge theories

Rabin Banerjee·Kuldeep Kumar
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Abstract

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(θ^2).

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Rabin Banerjee, Kuldeep Kumar. 2005-04-13. Maps for currents and anomalies in noncommutative gauge theories. https://doi.org/10.1103/physrevd.71.045013

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