Abstract

In heavy ion collisions (HIC) at high energies there may appear new phases of matter which must be described by QCD. These phases may have different color and flavour symmetries associated with the constituents involved in collisions as well as various space-time symmetries of hadron matter. Properties of the QCD medium in such a matter can be approximately described, in particular, by a number of right-handed (RH) and left-handed (LH) light quarks. The chiral imbalance (ChI) is characterized by the difference between the numbers of RH and LH quarks and supposedly occurs in the fireball after HIC. Accordingly we have to introduce a quark chiral (axial) chemical potential which simulates a ChI emerging in such a phase. In this report we discuss the possibility of a phase with Local spatial Parity Breaking (LPB) in such an environment and outline conceivable signatures for the registration of LPB as well as the appearance of new states in the spectra of scalar, pseudoscalar and vector particles as a consequence of local ChI. The comparison of the results obtained in the effective QCD- motivated models with lattice data is also performed.

Highlights

  • Introduction and OutlineThe formation of phase with the Chirality imbalance (ChI) i.e. with a difference between average numbers of right-handed (RH) and left-handed (LH) quarks in the fireball after heavy-ion collisions (HIC) represents an interesting challenge in studies of the phase diagram of QCD

  • It happens that chirality imbalance is a direct manifestation of QCD topological fluctuations and could become observable through the asymmetry in polarizations of dilepton pairs [11] in central heavy ion collisions (HIC) as a result of the manifestation of Local spatial Parity Breaking (LPB) effect

  • We have established that: 1.To describe such a quark matter topological charge fluctuations transmit their influence to hadron physics via axial(chiral) chemical potential which can be introduced to quantify the presence of chirality imbalance

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Summary

Introduction and Outline

The formation of phase with the Chirality imbalance (ChI) i.e. with a difference between average numbers of right-handed (RH) and left-handed (LH) quarks in the fireball after heavy-ion collisions (HIC) represents an interesting challenge in studies of the phase diagram of QCD. As one enforces a system to generate the right-left asymmetry by increasing chiral chemical potential, one would expect that quark condensates tended to become larger and thereby critical temperature Tc of chiral symmetry restoration were to rise as well. It happens that chirality imbalance is a direct manifestation of QCD topological fluctuations and could become observable through the asymmetry in polarizations of dilepton pairs [11] in central HIC as a result of the manifestation of Local spatial Parity Breaking (LPB) effect. New states in scalar, pseudoscalar, vector meson spectra in hadrom matter with ChI

Phenomenology of local parity breaking in finite volume
Topological charge and topological chemical potential
Axial baryon charge and axial chemical potential
Effective meson theory in a medium with LPB
Baryon and chiral chemical potentials in the NJL model
Vector mesons in a medium with LPB
Manifestation of LPB in heavy ion collisions in dilepton production
Polarization asymmetry: dilepton angular distributions
Conclusions and Outlook
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