
doi: 10.1143/ptps.111.263
Within the framework of the stochastic quantization, Langevin equations for physical observables themselves are derived. We call them generalized Langevin equations. By using the generalized Langevin equations, chiral anomaly and conformal anomaly are der ived. It is shown that origin of anomaly in the stochastic quantization is breaking of the naive Leibnitz formula. It is also shown that the breaking occurs in forms of duplication of random noises (quantum fluctuations).
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