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 μ5 (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.
Highlights
The QCD phase diagram is one of the open questions of modern elementary particle physics that yet to be answered
Chiral imbalance in the form of chiral isospin and chiral (μ5) chemical potentials were considered in the framework of NJL type model and other effective models [10, 11, 8, 4]
It was shown in Refs [8] that in the large-Nc limit (Nc is the number of colors) there is a duality between chiral symmetry breaking (CSB) and charged pion condensation (PC) phenomena
Summary
The QCD phase diagram is one of the open questions of modern elementary particle physics that yet to be answered. Chiral imbalance in the form of chiral isospin (μI5) and chiral (μ5) chemical potentials were considered in the framework of NJL type model and other effective models [10, 11, 8, 4] It was shown in Refs [8] that in the large-Nc limit (Nc is the number of colors) there is a duality between chiral symmetry breaking (CSB) and charged PC phenomena. In particular the dependence of the (pseudo-)critical temperature, which characterizes the cross-over region of the phase diagram, on the chiral isospin chemical potential μI5, μ5 in the framework of the NJL4 model at m0 = 0 In this case at zero baryon chemical potential, μB = 0, there is no sign-problem and we have solid results from lattice simulations [5]. The comparison with LQCD results is performed and we discuss the possible use of duality in order to get or reinforce some features of the phase diagram
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
