On the Correct Convergence of Complex Langevin Simulations for Polynomial Actions

Abstract

There are problems in physics and particularly in field theory which are defined by complex valued weight functions $e^{-S}$ where $S$ is a polynomial action $S:R^n\to C$. The conditions under which a convergent complex Langevin calculation correctly simulates such integrals are discussed. All conditions on the process which are used to prove proper convergence are defined in the stationary limit.

arXiv comment8 pages, LaTeX file, preprint UNIGRAZ-UTP 29-09-93

References in corpus (1)

• The Mechanism of Complex Langevin Simulations

Cited by in corpus (9)

• Lattice simulations of real-time quantum fields
• Simulating nonequilibrium quantum fields with stochastic quantization techniques
• Real-time gauge theory simulations from stochastic quantization with optimized updating
• Complex Langevin Equations and Schwinger-Dyson Equations
• Complex Probabilities on R^N as Real Probabilities on C^N and an Application to Path Integrals
• Numerical Simulations of PT-Symmetric Quantum Field Theories
• Temporal breakdown and Borel resummation in the complex Langevin method
• Stochastic Quantization for Complex Actions
• Correctness criteria for complex Langevin