Chirally symmetric but confining dense, cold matter

Journal Article · Sat Mar 01 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.054027· OSTI ID:21249724

Glozman, L Ya; Wagenbrunn, R F ^[1]

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1. Institute for Physics, Theoretical Physics Branch, University of Graz, Universitaetsplatz 5, A-8010 Graz (Austria)

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 {mu}{sub cr}. Below this value the spectrum is similar to the previously obtained one at {mu}=0. At {mu}>{mu}{sub 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.

• OSTI ID: 21249724
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASTROPHYSICS
BETHE-SALPETER EQUATION
BOUND STATE
CHIRAL SYMMETRY
CHIRALITY
COLOR MODEL
COMPUTERIZED SIMULATION
EXACT SOLUTIONS
GREEN FUNCTION
HADRONS
INTERACTIONS
MESON SPECTROSCOPY
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
QUANTUM CHROMODYNAMICS
QUARK MATTER
QUARKS
SPECTRA
SYMMETRY BREAKING