Abstract
A new regularization operator, , is proposed to calculate the variation of the fermion path-integral measure under a chiral transformation, and the normal anomaly, i.e. Bardeen anomaly, is obtained .in this paper. Moreover, the non-Abelian anomaly of the cosec pure gauge fields is calculated by means of this regularization operator. The corresponding results in Minkowski space can readily be obtained in the principal value integral.
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