S S symmetry Review Strong-Interaction Matter under Extreme Conditions from Chiral Quark Models with Nonlocal Separable Interactions Daniel Gómez Dumm 1,*, Juan Pablo Carlomagno 1 and Norberto N. Scoccola 2,3 1 IFLP, CONICET-Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina; carlomagno@fisica.unlp.edu.ar 2 Physics Department, Comisión Nacional de Energía Atómica, Av. Libertador 8250, 1429 Buenos Aires, Argentina;
[email protected] 3 CONICET, Rivadavia 1917, 1033 Buenos Aires, Argentina * Correspondence: dumm@fisica.unlp.edu.ar 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. Keywords: Nonlocal Nambu-Jona-Lasinio model; finite temperature and/or density; chiral phase transition; deconfinement transition Citation: Gómez Dumm, D.; Carlomagno, J.P.; Scoccola, N.N. Strong-Interaction Matter under 1. Introduction Extreme Conditions from Chiral The detailed understanding of the behavior of strong-interaction matter under extreme Quark Models with Nonlocal conditions of temperature and/or density has attracted great attention in the past decades.