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 firstname.lastname@example.org
Published online: 8 February 2002
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.
© Società Italiana di Fisica, Springer-Verlag, 2002