Dense quark matter with chiral and isospin imbalance: NJL-model consideration

¹ Faculty of Physics, M.V. Lomonosov Moscow State University, Moscow
² Logunov Institute for High Energy Physics, NRC “Kurchatov Institute”, Protvino, Moscow Region
³ Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation (IZMIRAN), Troitsk, Moscow

^* e-mail: tg.khunjua@physics.msu.ru
^** e-mail: konstantin.klimenko@ihep.ru
^*** e-mail: zhokhovr@gmail.com

Published online: 31 October 2018

Abstract

Isospin asymmetry is the well-known property of dense quark matter, which exists in the compact stars and is produced in heavy ion collisions. On the other hand, the chiral imbalance between left- and right- handed quarks is another highly anticipated phenomenon that could occur in the dense quark matter. To investigate quark matter under these conditions, we take into account baryon – μ_B, isospin – μ_I and chiral isospin – μ_I5 chemical potentials and study QCD phase portrait using NJL₄ model generalized to two massive quarks that could condense into the pion condensation. We have shown that the chiral isospin chemical potential μ_I5 generates pion condensation in isospin asymmetric quark matter. Also, we have investigated discrete symmetry (duality) between chiral and pion condensates in the case of massless quarks, which stay relatively instructive even if the quarks have bare mass. To describe hot dense quark matter, in addition to the above-mentioned chemical potentials, we introduce non-zero temperatures into consideration.