QCD-inspired determination of NJL model parameters

Abstract

The QCD phase diagram at finite temperature and density has attracted considerable interest over many decades now, not least because of its relevance for a better understanding of heavy-ion collision experiments. Models provide some insight into the QCD phase structure but usually rely on various parameters. Based on renormalization group arguments, we discuss how the parameters of QCD low-energy models can be determined from the fundamental theory of the strong interaction. We particularly focus on a determination of the temperature dependence of these parameters in this work and comment on the effect of a finite quark chemical potential. We present first results and argue that our findings can be used to improve the predictive power of future model calculations.

10 pages, 4 figures, Contribution to the proceedings of "XIIth Quark Confinement and the Hadron Spectrum" in Thessaloniki, Greece, Aug 28 - Sep 4, 2016

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• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Fierz-complete NJL model study: fixed points and phase structure at finite temperature and density
• Mass sensitivity of the three-flavor chiral phase transition
• Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD
• Bound state properties from the Functional Renormalisation Group
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The $O(N)$ model
• Strangeness Neutrality and QCD Thermodynamics
• Anomalous $U(1{)}_A$ couplings and the Columbia plot
• Functional renormalization of QCD in $1+1$ dimensions: four-fermion interactions from quark-gluon dynamics