Confronting effective models for deconfinement in dense quark matter with lattice data

Abstract

Ab initio numerical simulations of the thermodynamics of dense quark matter remain a challenge. Apart from the infamous sign problem, lattice methods have to deal with finite volume and discretization effects as well as with the necessity to introduce sources for symmetry-breaking order parameters. We study these artifacts in the Polyakov-loop-extended Nambu-Jona-Lasinio model, and compare its predictions to existing lattice data for cold and dense two-color matter with two flavors of Wilson quarks. To achieve even qualitative agreement with lattice data requires the introduction of two novel elements in the model: (i) explicit chiral symmetry breaking in the effective contact four-fermion interaction, referred to as the chiral twist, and (ii) renormalization of the Polyakov loop. The feedback of the dense medium to the gauge sector is modeled by a chemical-potential-dependent scale in the Polyakov-loop potential. In contrast to previously used analytical ansaetze, we determine its dependence on the chemical potential from lattice data for the expectation value of the Polyakov loop. Finally, we propose to add a two-derivative operator to our effective model. This term acts as an additional source of explicit chiral symmetry breaking, mimicking an analogous term in the lattice Wilson action.

32 pages; v2: plots for the Polyakov loop at finite chemical potential (figs. 9 and 10) corrected. v3: small changes. Matches published version in PRD

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Cited by in corpus (7)

• Existence of the critical endpoint in the vector meson extended linear sigma model
• Dense 2-color QCD towards continuum and chiral limits
• Peaks of sound velocity in two color dense QCD: quark saturation effects and semishort range correlations
• Thermal quarks and gluon propagators in two-color dense QCD
• Dynamical role of Polyakov loops in the QCD thermodynamics
• Delineating chiral separation effect in two-color dense QCD
• QCD at high temperature and density: selected highlights