Density of States FFA analysis of SU(3) lattice gauge theory at a finite density of color sources

Abstract

We present a Density of States calculation with the Functional Fit Approach (DoS FFA) in SU(3) lattice gauge theory with a finite density of static color sources. The DoS FFA uses a parameterized density of states and determines the parameters of the density by fitting data from restricted Monte Carlo simulations with an analytically known function. We discuss the implementation of DoS FFA and the results for a qualitative picture of the phase diagram in a model which is a further step towards implementing DoS FFA in full QCD. We determine the curvature $\kappa$ in the $\mu$-$T$ phase diagram and find a value close to the results published for full QCD.

One figure added, as well as comments on: Monte Carlo simulation, discretization effects, volume dependence, density integral. Final version to appear in Phys. Lett. B

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• Approaches to the sign problem in lattice field theory
• The density of states in gauge theories
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Cited by in corpus (10)

• Review on novel methods for lattice gauge theories
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Applying constrained simulations for low temperature lattice QCD at finite baryon chemical potential
• Ergodic sampling of the topological charge using the density of states
• Free energy of the self-interacting relativistic lattice Bose gas at finite density
• New DoS approaches to finite density lattice QCD
• Density of states approach for lattice gauge theory with a $\theta$-term
• Density of States of the lattice Schwinger model
• New canonical and grand canonical DoS techniques for finite density lattice QCD
• The density of states approach to the sign problem