Deconfinement transition line with the Complex Langevin equation up to $\mu /T\sim 5$

Abstract

We study the deconfinement transition line in QCD for quark chemical potentials up to ${\mu }_q\sim 5T$ (${\mu }_B\sim 15T$). To circumvent the sign problem we use the complex Langevin equation with gauge cooling. The plaquette gauge action is used with two flavors of naive Wilson fermions at a relatively heavy pion mass of roughly 1.3 GeV. A quadratic dependence describes the transition line well on the whole chemical potential range.

arXiv comment10 pages, 12 figures, PRD version

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• New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
• Lattice simulations of the QCD chiral transition at real baryon density
• Backpropagating Hybrid Monte Carlo algorithm for fast Lefschetz thimble calculations
• Complex Langevin calculations in QCD at finite density
• NNLO HTLpt predictions for the curvature of the QCD phase transition line
• Stabilizing complex Langevin for real-time gauge theories with an anisotropic kernel
• Stable solvers for real-time Complex Langevin
• Gauge invariant input to neural network for path optimization method
• Improving efficiency of the path optimization method for a gauge theory
• Overview of the QCD phase diagram -- Recent progress from the lattice
• Color superconductivity on the lattice -- analytic predictions from QCD in a small box
• On the validity of the complex Langevin method near the deconfining phase transition in QCD at finite density
• Combining complex Langevin dynamics with score-based and energy-based diffusion models