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.

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

References in corpus (4)

• Lattice simulations of real-time quantum fields
• Stochastic quantization at finite chemical potential
• Real-time gauge theory simulations from stochastic quantization with optimized updating
• Existence of positive representations for complex weights

Cited by in corpus (2)

• Effective Potential for Complex Langevin Equations
• Stochastic Quantization for Complex Actions