1211.5081 (P. F. Bienzobaz et al.)

Stochastic Quantization of the Spherical Model and Supersymmetry    [PDF]

P. F. Bienzobaz, Pedro R. S. Gomes, M. Gomes

We show that the supersymmetric extension of the quantum spherical model can be seen as a by-product of the stochastic quantization of the classical spherical model. This is so because of the well know equivalence between the Brownian motion described by means of the Langevin equation and the supersymmetric quantum mechanics, and it is connected with the existence of the Nicolai map.

View original: http://arxiv.org/abs/1211.5081