1983Progress of Theoretical PhysicsRequires access

Stochastic Quantization Method of Fermion Fields

Tomoki Fukai, Hiromichi Nakazato, Ichiro Ohba, Keisuke Okano, Y. Yamanaka

Open publisher page 38 citations

Abstract

Stochastic quantization of fermion fields is formulated, where the probability distribution P and the expectation value in P can be defined properly. The equivalence between the stochastic quantization and the path integral in Euclidean field theory is shown in free case. The general treatment of interacting case is also discussed.

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What this paper is about

Stochastic quantization of fermion fields is formulated, where the probability distribution P and the expectation value in P can be defined properly. The equivalence between the stochastic quantization and the path integral in Euclidean field theory is shown in free case. The general treatment of interacting case is also discussed.

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OpenAlex reports 38 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Stochastic quantization of fermion fields is formulated, where the probability distribution P and the expectation value in P can be defined properly. The equivalence between the stochastic quantization and the path integral in Euclidean field theory is shown in free case. The general treatment of interacting case is also discussed.

Key concepts: Stochastic quantization, Path integral formulation, Physics, Quantization (signal processing), Fermion, Euclidean geometry, Mathematical physics, Equivalence (formal languages)

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