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

Abstract

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.

Authors:
 [1]
  1. Center for Theoretical Physics, Department of Physics, MIT, Cambridge, Massachusetts 02139 (United States)
Publication Date:
OSTI Identifier:
20713846
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.72.094032; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Forbes, Michael McNeil. Kaon condensation in a Nambu-Jona-Lasinio model at high density. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.094032.
Forbes, Michael McNeil. Kaon condensation in a Nambu-Jona-Lasinio model at high density. United States. doi:10.1103/PhysRevD.72.094032.
Forbes, Michael McNeil. Tue . "Kaon condensation in a Nambu-Jona-Lasinio model at high density". United States. doi:10.1103/PhysRevD.72.094032.
@article{osti_20713846,
title = {Kaon condensation in a Nambu-Jona-Lasinio model at high density},
author = {Forbes, Michael McNeil},
abstractNote = {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.},
doi = {10.1103/PhysRevD.72.094032},
journal = {Physical Review. D, Particles Fields},
number = 9,
volume = 72,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}