Kaon condensation in a Nambu-Jona-Lasinio model at high density

Journal Article · Tue Nov 01 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.094032· OSTI ID:20713846

Forbes, Michael McNeil ^[1]

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1. Center for Theoretical Physics, Department of Physics, MIT, Cambridge, Massachusetts 02139 (United States)

We demonstrate a fully self-consistent microscopic realization of a kaon-condensed color-flavor locked state (CFLK{sup 0}) within the context of a mean-field Nambu-Jona-Lasinio (NJL) model at high density. The properties of this state are shown to be consistent with the QCD low-energy effective theory once the proper gauge neutrality conditions are satisfied, and a simple matching procedure is used to compute the pion decay constant, which agrees with the perturbative QCD result. The NJL model is used to compare the energies of the CFLK{sup 0} state to the parity even CFL state, and to determine locations of the metal/insulator transition to a phase with gapless fermionic excitations in the presence of a nonzero hypercharge chemical potential and a nonzero strange quark mass. The transition points are compared with results derived previously via effective theories and with partially self-consistent NJL calculations. We find that the qualitative physics does not change, but that the transitions are slightly lower.

• OSTI ID: 20713846
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMPARATIVE EVALUATIONS
EXCITATION
FLAVOR MODEL
GAUGE INVARIANCE
HYPERCHARGE
KAONS
MEAN-FIELD THEORY
PARITY
PARTICLE DECAY
PERTURBATION THEORY
PIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
REST MASS
S QUARKS