Chirally symmetric but confining dense and cold matter

dc.creatorGlozman, L. Ya.
dc.creatorWagenbrunn, R. F.
dc.date2007-09-19
dc.date2008-03-04
dc.date.accessioned2026-07-07T11:37:20Z
dc.date.available2026-07-07T11:37:20Z
dc.descriptionThe 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 $μ$ 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.
dc.description7 pp; the paper has been expanded to make some technical details more clear; 3 new figures have been added. To appear in PRD
dc.identifierhttps://arxiv.org/abs/0709.3080
dc.identifierhttp://arxiv.org/abs/0709.3080
dc.identifierPhys.Rev.D77:054027,2008
dc.identifierdoi:10.1103/PhysRevD.77.054027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199170
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleChirally symmetric but confining dense and cold matter
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