QCD phase diagram with chiral imbalance in NJL model: duality and lattice QCD results

Abstract

Abstract In addition to temperature and baryon chemical potential there exist other parameters that are essential in the real quark matter. One of them is isospin asymmetry, which does exist in nature, for example, in the compact stars or in heavy ion collisions. Chiral imbalance, the difference between left- and right-handed quarks, is another phenomenon that could occur in quark matter. We have shown that lattice QCD results support the existence of the approximate duality (found in effective models) in real QCD. The rise of pseudo-critical temperature with increase of chiral chemical potential μ 5 (the much debated effect recently, a lot of studies on this contradict each other) has been established in terms of just duality notion, hence reinforce confidence in this result and put it on the considerably more solid ground.