Wilson loop Langevin equations for U (1) lattice gauge theory.

Abstract

We study the stochastic quantization for lattice QED and derive the corresponding Langevin equations for the Wilson loops. The equivalence with the usual quantization procedure is established in the framework of strong coupling perturbation theory showing that the Wilson loop stochastic equations become the Schwinger-Dyson equations for the loops when the system reaches its equilibrium distribution.