Confined but chirally symmetric hadrons at large density and the Casher's argument

Abstract

Casher's argument, which is believed to be quite general, states that in the confining regime chiral symmetry is necessarily broken. In the large-N_c limit and at moderate and low temperatures QCD is confining up to arbitrary large densities, and there should appear a quarkyonic matter. It has been demonstrated, within a manifestly confining and chirally symmetric model, which is a 3+1 dimensional generalization of the 't Hooft model, that, at zero temperature and at a density exceeding a critical one, the chiral symmetry is restored while quarks remain confined in color-singlet hadrons. This is in conflict with the Casher's argument. Here we explain the reason why the Casher's argument fails and clarify the physical mechanism lying behind such confined but chirally symmetric hadrons.

4 pp., PRD, in print; some minor modifications in the text

References in corpus (8)

• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• Chirally symmetric but confining dense and cold matter
• Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement
• The effective Coulomb potential in SU(3) lattice Yang-Mills theory
• Solving two-dimensional large-N QCD with a nonzero density of baryons and arbitrary quark mass
• Effective restoration of chiral symmetry in excited mesons
• The volume dependence of the long-range two-body potentials in various color channels by lattice QCD

Cited by in corpus (11)

• Quarkyonic Chiral Spirals
• Symmetries of hadrons after unbreaking the chiral symmetry
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Quarkyonic Matter and the Revised Phase Diagram of QCD
• DbarN interaction in a color-confining chiral quark model
• Confinement Models at Finite Temperature and Density
• Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model
• Photon Signals from Quarkyonic Matter
• Chirally symmetric and confining dense matter with a diffused quark Fermi surface
• Confined but chirally and chiral spin symmetric hot matter