New DoS approaches to finite density lattice QCD

Abstract

We present two new suggestions for density of states (DoS) approaches to finite density lattice QCD. Both proposals are based on the recently developed and successfully tested DoS FFA technique, which is a DoS approach for bosonic systems with a complex action problem. The two different implementations of DoS FFA we suggest for QCD make use of different representations of finite density lattice QCD in terms of suitable pseudo-fermion path integrals. The first proposal is based on a pseudo-fermion representation of the grand canonical QCD partition sum, while the second is a formulation for the canonical ensemble. We work out the details of the two proposals and discuss the results of exploratory 2-d test studies for free fermions at finite density, where exact reference data allow one to verify the final results and intermediate steps.

arXiv commentTwo comments and a reference added. Final version to appear in Physical Review D

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Cited by in corpus (6)

• Baryons in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• Ergodic sampling of the topological charge using the density of states
• 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
• QCD at high temperature and density: selected highlights