Progress in complex Langevin simulations of full QCD at nonzero density

Abstract

Progress in the application of the complex Langevin method to full QCD at non-zero chemical potential is reported. The method evades the sign problem which makes naive simulations at nonzero density impossible. The procedure 'gauge cooling' is used to stabilize the simulations at small enough lattice spacings. The method allows simulations also at high densities, all the way up to saturation. Simulations in a systematic hopping parameter expansion are also performed and good convergence is observed, validating the full as well as the expanded simulations.

arXiv comment4 pages, 5 figures, contribution to the proceedings of Quark Matter 2014

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• Path integral contour deformations for noisy observables
• Leveraging Machine Learning to Alleviate Hubbard Model Sign Problems
• Bose-Einstein condensation and Silver Blaze property from the two-loop $\Phi$-derivable approximation
• Towards overcoming the Monte Carlo sign problem with tensor networks
• Spectral Functions in V-QCD with Matter: Masses, Susceptibilities, Diffusion and Conductivity
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Phase structure of the 1+1 dimensional massive Thirring model from matrix product states
• Two-Flavor Lattice QCD with a Finite Density of Heavy Quarks: Heavy-Dense Limit and "Particle-Hole" Symmetry
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Complex spectrum of finite-density lattice QCD with static quarks at strong coupling
• Recent lattice QCD results and phase diagram of strongly interacting matter
• Confronting effective models for deconfinement in dense quark matter with lattice data
• The interplay of the sign problem and the infinite volume limit: gauge theories with a theta term
• The Role of Integration Cycles in Complex Langevin Simulations
• Effective SU(2) Polyakov Loop Theories with Heavy Quarks on the Lattice
• Model studies of the chiral and deconfinement transitions in QCD