Developing and testing the density of states FFA method in the SU(3) spin model

Abstract

The Density of States Functional Fit Approach (DoS FFA) is a recently proposed modern density of states technique suitable for calculations in lattice field theories with a complex action problem. In this article we present an exploratory implementation of DoS FFA for the SU(3) spin system at finite chemical potential $\mu$ - an effective theory for the Polyakov loop. This model has a complex action problem similar to the one of QCD but also allows for a dual simulation in terms of worldlines where the complex action problem is solved. Thus we can compare the DoS FFA results to the reference data from the dual simulation and assess the performance of the new approach. We find that the method reproduces the observables from the dual simulation for a large range of $\mu$ values, including also phase transitions, illustrating that DoS FFA is an interesting approach for exploring phase diagrams of lattice field theories with a complex action problem.

Plot, reference and comments added. Final version to appear in Nucl. Phys. B

References in corpus (5)

• The density of states in gauge theories
• On the existence of the critical point in finite density lattice QCD
• Flux representation of an effective Polyakov loop model for QCD thermodynamics
• The density of states approach to dense quantum systems
• Flux simulation of the SU(3) spin model at finite chemical potential

Cited by in corpus (5)

• Free energy of the self-interacting relativistic lattice Bose gas at finite density
• New DoS approaches to finite density lattice QCD
• New canonical and grand canonical DoS techniques for finite density lattice QCD
• The density of states approach to the sign problem
• Functional Fit Approach (FFA) for Density of States method: SU(3) spin system and SU(3) lattice gauge theory with static color sources