Abstract
The chiral anomalies in spinor theories are discussed in the stochastic quantization scheme of fermion fields with the stochastic regularization of Breit, Gupta and Zaks. It is shown that the stochastic method offers an unambiguous perturbational basis for the path-integral approach through a theorem that the stochastic perturbation series for the anomalies terminates at the fourth-order approximation if the kernel in the fermion Langevin equation is linear in the derivative. The covariant and consistent anomalies are derived from different kernels. A comment is made on the scalar system as regards the validity of the N oether theorem.
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