Abstract

The chiral imbalance (ChI) is given by a difference between the numbers of RH and LH quarks which may occur in the fireball after heavy ion collision. To characterize it adiabatically a quark chiral (axial) chemical potential must be introduced taking into account emergence of a ChI in such a phase. In this report the phenomenology of formation of Local spatial Parity Breaking (LPB) in the hot and dense baryon matter is discussed and its simulation within a number of QCD-inspired models is outlined. The appearance of new states in the spectra of scalar, pseudoscalar and vector particles in such a matter is elucidated. In particular, from the effective vector meson theory in the presence of Chern-Simons interaction it is demonstrated that the spectrum of massive vector mesons splits into three polarization components with different effective masses. The asymmetry in production of longitudinally and transversely polarized states of ρ and ω mesons for various values of the dilepton invariant mass can serve as a characteristic indication of the LPB in PHENIX, STAR and ALICE experiments.

Highlights

  • Chiral Imbalance in Heavy Ions CollisionsThe behaviour of baryonic matter under extreme conditions in HIC has received a lot of attention [1, 2]

  • The asymmetry in production of longitudinally and transversely polarized states of ρ and ω mesons for various values of the dilepton invariant mass can serve as a characteristic indication of the Local spatial Parity Breaking (LPB) in PHENIX, STAR and ALICE experiments

  • In this talk we described a possibility of local spatial parity breaking emerging in a dense hot baryon medium in heavy-ion collisions at high energies

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Summary

Introduction

The behaviour of baryonic matter under extreme conditions in HIC has received a lot of attention [1, 2]. The dedicated experimental study of hadron correlations in non-central heavy-ion collisions at RHIC [4] and LHC [5] revealed a signal of the separation of electric charges predicted in [6] as a signature of local P- and CP-odd fluctuations in QCD matter. In heavy-ion collisions at high energies, with raising temperatures and baryon densities, metastable state can appear in the fireball with a nontrivial topological/axial charge T5, which is related to the gluon gauge field Gi: T5(t). Where NL − NR stands for the vacuum averaged difference between left and right chiral densities of baryon number (chiral imbalance) Therefrom it follows that in the chiral limit and for a finite fireball volume the axial quark current is conserved in the presence of non-zero topological charge.

Effective meson theories with LPB
Effective scalar meson Lagrangian with axial chemical potential
Chemical potentials in the NJL model
Conclusions and outlook
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