Stochastic Quantization of the Spherical Model and Supersymmetry
Statistical Mechanics
2013-09-24 v2 High Energy Physics - Theory
Abstract
We use the stochastic quantization method to construct a supersymmetric version of the quantum spherical model. This is based on the equivalence between the Brownian motion described by a Langevin equation and the supersymmetric quantum mechanics, which is connected with the existence of the Nicolai map. We investigate the critical behavior of the supersymmetric model at finite as well as at zero temperatures, showing that it exhibits both classical and quantum phase transitions, and determine the critical dimensions.
Keywords
Cite
@article{arxiv.1211.5081,
title = {Stochastic Quantization of the Spherical Model and Supersymmetry},
author = {P. F. Bienzobaz and Pedro R. S. Gomes and M. Gomes},
journal= {arXiv preprint arXiv:1211.5081},
year = {2013}
}
Comments
22 pages. Extended version including new sections with new results. Published version