Stochastic quantization for the axial model

CARLOS FARINA; H. MONTANI; LUIZ C. ALBUQUERQUE

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 1991 vol. 43 p. 3384 - 3390

1550-7998

We use the bosonization ides 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.