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

References in corpus (18)

• An efficient, multiple range random walk algorithm to calculate the density of states
• The Nf=0 heavy quark potential from short to intermediate distances
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• Approaches to the sign problem in lattice field theory
• The density of states in gauge theories
• Critical line of 2+1 flavor QCD: Toward the continuum limit
• On the existence of the critical point in finite density lattice QCD
• Complex Langevin dynamics and other approaches at finite chemical potential
• The density of states approach to dense quantum systems
• Two-colour QCD with heavy quarks at finite densities
• Anatomy of the sign-problem in heavy-dense QCD
• The QCD phase diagram from analytic continuation
• New developments for dual methods in lattice field theory at non-zero density
• Developing and testing the density of states FFA method in the SU(3) spin model
• Numerical study of QCD phase diagram at high temperature and density by a histogram method
• Lattice QCD at nonzero temperature and density
• Density-of-states
• Overcoming strong metastabilities with the LLR method

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