Eur. Phys. J. C 23, 389-395 (2002)
https://doi.org/10.1007/s100520100874

Stochastic quantization of order two parafermi fields

CSIR Centre for Mathematical Modelling & Computer Simulation (C-MMACS), N.A.L. Wind Tunnel Road, Bangalore – 560 037, India

Corresponding author: ^a janaki@cmmacs.ernet.in

Received: 14 November 2001
Published online: 8 February 2002

Abstract

The method of stochastic quantization of Parisi–Wu is extended to include spinor fields obeying the generalized statistics of order two consistent with the weak locality requirement. Appropriate Langevin and Fokker–Planck equations are constructed using paragrassmann variables, which give rise to two fields with different masses in the equilibrium limit, in agreement with the results of the canonical quantization procedure. The connection between the stochastic quantization method and conventional Euclidean field theory is established through Klein transformations.