Complex Langevin Equations and Schwinger-Dyson Equations

Abstract

Stationary distributions of complex Langevin equations are shown to be the complexified path integral solutions of the Schwinger-Dyson equations of the associated quantum field theory. Specific examples in zero dimensions and on a lattice are given. Relevance to the study of quantum field theory phase space is discussed.

Comments: 23 pages, 4 figures, elsart, typos fixed, includes additional content