0 v 1 1 6 A pr 2 00 4 Maps for currents and anomalies in noncommutative gauge theories : classical and quantum aspects
نویسنده
چکیده
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).
منابع مشابه
ar X iv : h ep - t h / 05 05 24 5 v 1 2 6 M ay 2 00 5 Commutator anomalies in noncommutative electrodynamics
We exploit the maps for fields and currents in a U(1) gauge theory relating the noncommutative and commutative (usual) descriptions to obtain the O(θ) structure of the commutator anomalies in noncommutative electrodynamics. These commutators involve the (covariant) current–current algebra and the (covariant) current–field algebra. We also establish the compatibility of the anomalous commutators...
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متن کاملMaps for currents and anomalies in noncommutative gauge theories
We derive maps relating currents and their divergences in non-Abelian U(N) noncom-mutative 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 co...
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