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Stochastic quantization of massive fermions. (English) Zbl 1422.81139
Summary: We consider a general solution of the Langevin equation describing massive fermions to an appropriate boundary problem. Assuming existence of such solution we show that its correlators coincide with the Schwinger functions of corresponding Euclidean Quantum Field Theory.
81S20 Stochastic quantization
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
81T10 Model quantum field theories
Full Text: DOI
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