Stochastic quantization method in quantum field theory with fundamental mass

Shochastic quantization method is applied to fermion fields in the framework of quantum field theory with non-Euclidean momentum space. The analogues of the Langevin and Planck-Fokker equations are found by means of using the Grassmann variables for the description of non-Euclidean fermion fields. Those analogues take into account the new geometrical properties of the momentum space. Equivalence of the stochastic quantization method to the method of secondary quantization in terms of the path integral is shown