Remarks on a Stochastic Quantization of Scalar Fields

Abstract
The Langevin equation approach to derive (non)equilibrium-distribution correlation functions for scalar fields is examined. Regularization introduced by the auxiliary time renders the parameters of the Langevin equation finite in the case of super-renormalizable models while causing no change in the boundary between renormalizability and nonrenormalizability. An heuristic central-limit-type argument is suggested to understand the free-field behavior of nonrenormalizable (φ4)n models, n>4.