Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions

Abstract

We review the current status of the research on effective nonlocal NJL-like chiral quark models with separable interactions, focusing on the application of this approach to the description of the properties of hadronic and quark matter under extreme conditions. The analysis includes the predictions for various hadron properties in vacuum, as well as the study of the features of deconfinement and chiral restoration phase transitions for systems at finite temperature and/or density. We also address other related subjects, such as the study of phase transitions for imaginary chemical potentials, the possible existence of inhomogeneous phase regions, the presence of color superconductivity, the effects produced by strong external magnetic fields, and the application to the description of compact stellar objects.

arXiv comment93 pages, 40 figures

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• Beta-Functions and RG flows for Holographic QCD with Heavy and Light Quarks: Isotropic case
• Unified Functional-Holographic Theory of the QCD Critical End Point
• Special Issue on Advances in Chiral Quark Models
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