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Stochastic quantization for the axial model
Phys. Rev. D 43, 3384 – Published 15 May, 1991
DOI: https://doi.org/10.1103/PhysRevD.43.3384
Abstract
We use bosonization ideas to solve the axial model in the stochastic quantization framework. We obtain the fermion propagator of the theory decoupling directly the Langevin equation, instead of the Fokker-Planck equation. In the Appendix we calculate explicitly the anomalous divergence of the axial-vector current by using a regularization that does not break the Markovian character of the stochastic process.
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