Nonlocal Nambu-Jona-Lasinio model and chiral chemical potential

Abstract

We derive the critical temperature in a nonlocal Nambu-Jona-Lasinio model with the presence of a chiral chemical potential. The model we consider uses a form factor derived from recent studies of the gluon propagator in Yang-Mills theory and has the property to fit in excellent way the form factor arising from the instanton liquid picture for the vacuum of the theory. Nambu-Jona-Lasinio model is derived form quantum chromodynamics providing all the constants of the theory without any need for fits. We show that the critical temperature in this case always exists and increases as the square of the chiral chemical potential. The expression we obtain for the critical temperature depends on the mass gap that naturally arises from Yang-Mills theory at low-energy as also confirmed by lattice computations.

19 pages, 3 figures. Version accepted for publication in the European Physical Journal C

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• Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Differential Dyson-Schwinger equations for quantum chromodynamics
• Phase diagram of helically imbalanced QCD matter
• QCD phase diagram with chiral imbalance in NJL model: duality and lattice QCD results
• Kondo effect driven by chirality imbalance
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities