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A REGULARIZATION SCHEME FOR OBTAINING BARDEEN ANOMALY

Authors:	RUAN Tu-nan DING Si-tong FAN Hong-yi

Affiliation:	China University of Science and Technology, Hefei, China

Abstract:	A new regularization operator, (e^{-Ø_L(X)Ø_R(X)/M²}+e^{-Ø_R(X)Ø_L(X)/M²})\|_M→∞’ is proposed to calculate the variation of the fermion path-in-tegral 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 calcula-ted 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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