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 (13)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Phases of Dense Quarks at Large N_c
• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• No confinement without Coulomb confinement
• On the Yang-Mills wave functional in Coulomb gauge
• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
• Meson Structure in a Relativistic Many-Body Approach
• Aspects of the confinement mechanism in Coulomb-gauge QCD
• Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement
• Chiral symmetry breaking solutions for QCD in the truncated Coulomb gauge
• Alternative experimental evidence for chiral restoration in excited baryons
• Effective restoration of chiral symmetry in excited mesons

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