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Title: Kaon condensation in CFL quark matter, the Goldstone theorem, and the 2PI Hartree approximation

Abstract

At very high densities, QCD is in the color-flavor-locked phase, which is a color-superconducting phase. The diquark condensates break chiral symmetry in the same way as it is broken in vacuum QCD and gives rise to an octet of pseudo-Goldstone bosons and a superfluid mode. The lightest of these are the charged and neutral kaons. For energies below the superconducting gap, the kaons are described by an O(2)xO(2)-symmetric effective scalar field theory with chemical potentials. We use this effective theory to study Bose-condensation of kaons and their properties as functions of the temperature and the chemical potentials. We use the 2-particle irreducible effective action formalism in the Hartree approximation. The renormalization of the gap equations and the effective potential is studied in detail and we show that the counterterms are independent of temperature and chemical potentials. We determine the phase diagram and the medium-dependent quasiparticle masses. It is shown that the Goldstone theorem is satisfied to a very good approximation.

Authors:
 [1]
  1. Department of Physics, Norwegian University of Science and Technology, Hoegskoleringen 5, N-7491 Trondheim (Norway)
Publication Date:
OSTI Identifier:
21516953
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1343; Journal Issue: 1; Conference: QCHS 9: 9. international conference on quark confinement and the hadron spectrum, Madrid (Spain), 30 Aug - 3 Sep 2010; Other Information: DOI: 10.1063/1.3575102; (c) 2011 American Institute of Physics; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; COLOR MODEL; CONDENSATES; DENSITY; FIELD THEORIES; FLAVOR MODEL; GOLDSTONE BOSONS; HARTREE-FOCK METHOD; KAONS NEUTRAL; MASS; PARTICLES; PHASE DIAGRAMS; QUANTUM CHROMODYNAMICS; QUARK MATTER; RENORMALIZATION; SCALAR FIELDS; SUPERFLUIDITY; SYMMETRY BREAKING; APPROXIMATIONS; BOSONS; CALCULATION METHODS; COMPOSITE MODELS; DIAGRAMS; ELEMENTARY PARTICLES; HADRONS; INFORMATION; KAONS; MATHEMATICAL MODELS; MATTER; MESONS; PARTICLE MODELS; PHYSICAL PROPERTIES; POSTULATED PARTICLES; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; QUARK MODEL; STRANGE MESONS; STRANGE PARTICLES; SYMMETRY

Citation Formats

Leganger, Lars E. Kaon condensation in CFL quark matter, the Goldstone theorem, and the 2PI Hartree approximation. United States: N. p., 2011. Web. doi:10.1063/1.3575102.
Leganger, Lars E. Kaon condensation in CFL quark matter, the Goldstone theorem, and the 2PI Hartree approximation. United States. https://doi.org/10.1063/1.3575102
Leganger, Lars E. 2011. "Kaon condensation in CFL quark matter, the Goldstone theorem, and the 2PI Hartree approximation". United States. https://doi.org/10.1063/1.3575102.
@article{osti_21516953,
title = {Kaon condensation in CFL quark matter, the Goldstone theorem, and the 2PI Hartree approximation},
author = {Leganger, Lars E},
abstractNote = {At very high densities, QCD is in the color-flavor-locked phase, which is a color-superconducting phase. The diquark condensates break chiral symmetry in the same way as it is broken in vacuum QCD and gives rise to an octet of pseudo-Goldstone bosons and a superfluid mode. The lightest of these are the charged and neutral kaons. For energies below the superconducting gap, the kaons are described by an O(2)xO(2)-symmetric effective scalar field theory with chemical potentials. We use this effective theory to study Bose-condensation of kaons and their properties as functions of the temperature and the chemical potentials. We use the 2-particle irreducible effective action formalism in the Hartree approximation. The renormalization of the gap equations and the effective potential is studied in detail and we show that the counterterms are independent of temperature and chemical potentials. We determine the phase diagram and the medium-dependent quasiparticle masses. It is shown that the Goldstone theorem is satisfied to a very good approximation.},
doi = {10.1063/1.3575102},
url = {https://www.osti.gov/biblio/21516953}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1343,
place = {United States},
year = {Mon May 23 00:00:00 EDT 2011},
month = {Mon May 23 00:00:00 EDT 2011}
}