Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential

DOI10.1007/JHEP08(2010)017zbMath1291.81377arXiv1006.0332OpenAlexW3099465333MaRDI QIDQ2248198

Gert Aarts, Kim Splittorff

Publication date: 30 June 2014

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

Full work available at URL: https://arxiv.org/abs/1006.0332

zbMATH Keywords

lattice QCDlattice quantum field theory

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (12)

Some remarks on Lefschetz thimbles and complex Langevin dynamics ⋮ Complex Langevin and other approaches to the sign problem in quantum many-body physics ⋮ Complex Langevin dynamics and supersymmetric quantum mechanics ⋮ Stability of complex Langevin dynamics in effective models ⋮ Erratum to: Lefschetz thimble structure in one-dimensional lattice Thirring model at finite density ⋮ Monte Carlo study of Lefschetz thimble structure in one-dimensional Thirring model at finite density ⋮ QCD \(\theta\)-vacua from the chiral limit to the quenched limit ⋮ Complex Langevin dynamics and zeroes of the fermion determinant ⋮ Complex Langevin simulation of a random matrix model at nonzero chemical potential ⋮ Markovian versus non-Markovian stochastic quantization of a complex-action model ⋮ Complex Langevin dynamics in the \(\operatorname{SU}(3)\) spin model at nonzero chemical potential revisited ⋮ Subset method for one-dimensional QCD

Cites Work

• Stochastic quantization at finite chemical potential
• The QCD phase diagram for small densities from imaginary chemical potential
• Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential
• Real-time gauge theory simulations from stochastic quantization with optimized updating
• Complex Langevin equations and Schwinger-Dyson equations
• Spectrum of certain non-self-adjoint operators and solutions of Langevin equations with complex drift
• A new method to study lattice QCD at finite temperature and chemical potential
• The QCD equation of state at nonzero densities: lattice result
• Effective potential for complex Langevin equations
• On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential

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