Complex Langevin simulations of a finite density matrix model for QCD

Abstract

We study a random matrix model for QCD at finite density via complex Langevin dynamics. This model has a phase transition to a phase with nonzero baryon density. We study the convergence of the algorithm as a function of the quark mass and the chemical potential and focus on two main observables: the baryon density and the chiral condensate. For simulations close to the chiral limit, the algorithm has wrong convergence properties when the quark mass is in the spectral domain of the Dirac operator. A possible solution of this problem is discussed.

10 pages, 9 figures; Contribution to the "12th Quark Confinement and the Hadron Spectrum" conference, Thessaloniki, 28.08.-04.09.2016

References in corpus (3)

• Full simulation of chiral Random Matrix Theory at non-zero chemical potential by Complex Langevin
• Reweighting complex Langevin trajectories
• Subsets and the canonical partition functions

Cited by in corpus (8)

• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Parallel tempering algorithm for integration over Lefschetz thimbles
• Complex Langevin Simulation of a Random Matrix Model at Nonzero Chemical Potential
• Combining the complex Langevin method and the generalized Lefschetz-thimble method
• Benchmark results in the 2D lattice Thirring model with a chemical potential
• Simulating Yang-Mills theories with a complex coupling
• Complex Langevin Simulations of QCD at Finite Density -- Progress Report
• Progress on Complex Langevin simulations of a finite density matrix model for QCD