Chirally symmetric but confining dense and cold matter

Abstract

The folklore tradition about the QCD phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter. We address this question within the only known exactly solvable confining and chirally symmetric model. It is postulated within this model that there exists linear Coulomb-like confining interaction. The chiral symmetry breaking and the quark Green function are obtained from the Schwinger-Dyson (gap) equation while the color-singlet meson spectrum results from the Bethe-Salpeter equation. We solve this model at T=0 and finite chemical potential $\mu$ and obtain a clear chiral restoration phase transition at the critical value μ_{cr}. Below this value the spectrum is similar to the previously obtained one at μ= 0. At μ> μ_{cr} the quarks are still confined and the physical spectrum consists of bound states which are arranged into a complete set of exact chiral multiplets. This explicitly demonstrates that a chirally symmetric matter consisting of confined but chirally symmetric hadrons at finite chemical potential is also possible in QCD. If so, there must be nontrivial implications for astrophysics.

7 pp; the paper has been expanded to make some technical details more clear; 3 new figures have been added. To appear in PRD

References in corpus (4)

• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement
• Alternative experimental evidence for chiral restoration in excited baryons
• Effective restoration of chiral symmetry in excited mesons

Cited by in corpus (7)

• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• The physics of eight flavours
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• Meson supercurrents and the Meissner effect in the Sakai-Sugimoto model
• Chiral restoration in excited nucleons versus SU(6)
• Chiral Symmetry and Heavy-Ion Collisions
• The thermal evolution of nuclear matter at zero temperature and definite baryon number density in chiral perturbation theory