The QCD phase diagram in the limit of heavy quarks using complex Langevin dynamics

Abstract

Complex Langevin simulations allow numerical studies of theories that exhibit a sign problem, such as QCD, and are thereby potentially suitable to determine the QCD phase diagram from first principles. Here we study QCD in the limit of heavy quarks for a wide range of temperatures and chemical potentials. Our results include an analysis of the adaptive gauge cooling technique, which prevents large excursions into the non-compact directions of the SL($3,\mathbb{C}$) manifold. We find that such excursions may appear spontaneously and change the statistical distribution of physical observables, which leads to disagreement with known results. Results whose excursions are sufficiently small are used to map the boundary line between confined and deconfined quark phases.

18 pages, 10 figures, accepted for publication in JHEP

References in corpus (6)

• High-precision scale setting in lattice QCD
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Approaches to the sign problem in lattice field theory
• Stochastic quantization at finite chemical potential
• The lattice QCD phase diagram in and away from the strong coupling limit
• Real-time gauge theory simulations from stochastic quantization with optimized updating

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