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

Journal Article · Sat Aug 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.037701· OSTI ID:21322411

Glozman, L Ya ^[1]

---

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

The Casher argument, which is believed to be quite general, states that in the confining regime chiral symmetry is necessarily broken. In the large-N{sub 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 argument. Here, we explain the reason why the Casher argument fails and clarify the physical mechanism lying behind such confined but chirally symmetric hadrons.

• OSTI ID: 21322411
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COLOR MODEL
DENSITY
FOUR-DIMENSIONAL CALCULATIONS
HADRONS
MATTER
QUANTUM CHROMODYNAMICS
QUARKS
SIMULATION