Parity-violating anomalies from stochastic quantization.

Abstract

It is shown that the anomalous contribution to the vacuum current in (2n+1)-dimensional theories of massive fermions interacting with classical Yang-Mills and gravitational fields at zero and finite temperature is correctly reproduced by the stochastic quantization procedure. For massless fermions an ambiguity arises. This can be traced to the fact that the stochastic time acts as an additional IR cutoff.