Abstract

We consider anomalous commutators between the charge density and any component of the gauge current in chiral gauge theories. This is done using the BJL definition of commutators, and without quantizing the gauge field. We study the relation between the vacuum expectation value (VEV) of these commutators for the case of consistent and covariant gauge currents. We obtain a simple relation valid for any dimension and gauge group. This relation shows that the difference between the VEV's of the commutators for the consistent and covariant gauge currents depends only on the difference between the VEV's of the corresponding currents.

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