Reweighting complex Langevin trajectories

Abstract

Although the complex Langevin method can solve the sign problem in simulations of theories with complex actions, the method will yield the wrong results if known validity conditions are not satisfied. We present a novel method to compute observables for a target ensemble by reweighting complex trajectories generated with the complex Langevin method for an auxiliary ensemble having itself a complex action. While it is imperative that the validity conditions be satisfied for the auxiliary ensemble, there are no such requirements for the target ensemble. This allows us to enlarge the applicability range of the complex Langevin method. We illustrate this at the hand of a one-dimensional partition function and two-dimensional strong-coupling QCD.

5 pages, 2 figures; as published in PRD; including an enhanced comparison between reweighted complex Langevin and phase-quenched reweighting in the results section

References in corpus (1)

• Does the complex Langevin method give unbiased results?

Cited by in corpus (17)

• Finite-density lattice QCD and sign problem: current status and open problems
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Parallel tempering algorithm for integration over Lefschetz thimbles
• Status of Complex Langevin
• Complex Langevin Simulation of a Random Matrix Model at Nonzero Chemical Potential
• Machine learning for molecular dynamics with strongly correlated electrons
• Complex Langevin analysis of the spontaneous symmetry breaking in dimensionally reduced super Yang-Mills models
• Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of non-relativistic fermions in one dimension
• Complex Langevin calculations in finite density QCD at large $\mu /T$ with the deformation technique
• Polarized fermions in one dimension: density and polarization from complex Langevin calculations, perturbation theory, and the virial expansion
• Complex Langevin simulations of a finite density matrix model for QCD
• Distance between configurations in Markov chain Monte Carlo simulations
• Towards sampling complex actions
• Regularization of Complex Langevin Method
• Performance of Complex Langevin Simulation in 0+1 dimensional massive Thirring model at finite density
• Correctness criteria for complex Langevin
• Dynamical compactification of extra dimensions in the Euclidean type IIB matrix model: A numerical study using the complex Langevin method