Combining the complex Langevin method and the generalized Lefschetz-thimble method

DOI10.1007/JHEP06(2017)023zbMath1380.81254arXiv1703.09409OpenAlexW2949373624MaRDI QIDQ683108

Shinji Shimasaki, Jun-ichi Nishimura

Publication date: 5 February 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09409

zbMATH Keywords

lattice QCDphase diagram of QCD

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Quantum field theory on lattices (81T25)

Related Items (2)

Distance between configurations in Markov chain Monte Carlo simulations ⋮ Gradient flows without blow-up for Lefschetz thimbles

Cites Work

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• Gauge cooling for the singular-drift problem in the complex Langevin method -- a test in random matrix theory for finite density QCD
• Complex Langevin dynamics in the \(\operatorname{SU}(3)\) spin model at nonzero chemical potential revisited
• Gauge cooling in complex Langevin for lattice QCD with heavy quarks
• Monte Carlo study of Lefschetz thimble structure in one-dimensional Thirring model at finite density
• Hamilton dynamics for Lefschetz-thimble integration akin to the complex Langevin method
• Parallel tempering algorithm for integration over Lefschetz thimbles
• Representation of complex probabilities
• Positive representations of a class of complex measures
• Justification of the complex Langevin method with the gauge cooling procedure
• The existence of positive representations for complex weights
• Simulating full QCD at nonzero density using the complex Langevin equation

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