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Title: Goldstone boson currents in a kaon condensed color-flavor locked phase

Abstract

We study the stability of the kaon condensed color-flavor locked (CFL) phase of dense quark matter with regard to the formation of a nonzero Goldstone boson current. In the kaon condensed phase there is an electrically charged fermion which becomes gapless near {mu}{sub s}{sup (1)}{approx_equal}1.35{delta} and a neutral fermion which becomes gapless near {mu}{sub s}{sup (2)}{approx_equal}1.61{delta}. Here, {mu}{sub s}=m{sub s}{sup 2}/(2p{sub F}) is the shift in the Fermi energy due to the strange quark mass m{sub s} and {delta} is the gap in the chiral limit. The transition to the gapless phase is continuous at {mu}{sub s}{sup (1)} and first order at {mu}{sub s}{sup (2)}. We find that the magnetic screening masses are real in the regime {mu}{sub s}<{mu}{sub s}{sup (2)}, but some screening masses are imaginary for {mu}{sub s}>{mu}{sub s}{sup (2)}. We show that there is a very weak current instability for {mu}{sub s}>{mu}{sub s}{sup (1)} and a more robust instability in a small window near {mu}{sub s}{sup (2)}. We show that in the Goldstone boson current phase all components of the magnetic screening mass are real. There is a range of values of {mu}{sub s} below 2{delta} in which the magnetic gluon screening masses are imaginary but themore » phase is stable with respect to electrically neutral fluctuations of the gauge field.« less

Authors:
; ;  [1];  [2]
  1. Department of Physics, North Carolina State University, Raleigh, North Carolina 27695 (United States)
  2. (United States)
Publication Date:
OSTI Identifier:
21020059
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.75.054012; (c) 2007 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; ALGEBRAIC CURRENTS; CHIRALITY; COLOR MODEL; FLAVOR MODEL; GAUGE INVARIANCE; GLUONS; GOLDSTONE BOSONS; KAONS; QUANTUM FIELD THEORY; QUARK MATTER; REST MASS; S QUARKS

Citation Formats

Gerhold, A., Schaefer, T., Kryjevski, A., and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47408. Goldstone boson currents in a kaon condensed color-flavor locked phase. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.054012.
Gerhold, A., Schaefer, T., Kryjevski, A., & Nuclear Theory Center, Indiana University, Bloomington, Indiana 47408. Goldstone boson currents in a kaon condensed color-flavor locked phase. United States. doi:10.1103/PHYSREVD.75.054012.
Gerhold, A., Schaefer, T., Kryjevski, A., and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47408. Thu . "Goldstone boson currents in a kaon condensed color-flavor locked phase". United States. doi:10.1103/PHYSREVD.75.054012.
@article{osti_21020059,
title = {Goldstone boson currents in a kaon condensed color-flavor locked phase},
author = {Gerhold, A. and Schaefer, T. and Kryjevski, A. and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47408},
abstractNote = {We study the stability of the kaon condensed color-flavor locked (CFL) phase of dense quark matter with regard to the formation of a nonzero Goldstone boson current. In the kaon condensed phase there is an electrically charged fermion which becomes gapless near {mu}{sub s}{sup (1)}{approx_equal}1.35{delta} and a neutral fermion which becomes gapless near {mu}{sub s}{sup (2)}{approx_equal}1.61{delta}. Here, {mu}{sub s}=m{sub s}{sup 2}/(2p{sub F}) is the shift in the Fermi energy due to the strange quark mass m{sub s} and {delta} is the gap in the chiral limit. The transition to the gapless phase is continuous at {mu}{sub s}{sup (1)} and first order at {mu}{sub s}{sup (2)}. We find that the magnetic screening masses are real in the regime {mu}{sub s}<{mu}{sub s}{sup (2)}, but some screening masses are imaginary for {mu}{sub s}>{mu}{sub s}{sup (2)}. We show that there is a very weak current instability for {mu}{sub s}>{mu}{sub s}{sup (1)} and a more robust instability in a small window near {mu}{sub s}{sup (2)}. We show that in the Goldstone boson current phase all components of the magnetic screening mass are real. There is a range of values of {mu}{sub s} below 2{delta} in which the magnetic gluon screening masses are imaginary but the phase is stable with respect to electrically neutral fluctuations of the gauge field.},
doi = {10.1103/PHYSREVD.75.054012},
journal = {Physical Review. D, Particles Fields},
number = 5,
volume = 75,
place = {United States},
year = {Thu Mar 01 00:00:00 EST 2007},
month = {Thu Mar 01 00:00:00 EST 2007}
}