Evaluating the gapless color-flavor locked phase

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

DOI:https://doi.org/10.1103/PhysRevD.71.054009· OSTI ID:20706099

Alford, Mark; Kouvaris, Chris; Rajagopal, Krishna ^[1]

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1. Physics Department, Washington University, St. Louis, Missouri 63130 (United States)

In neutral cold quark matter that is sufficiently dense that the strange quark mass M{sub s} is unimportant, all nine quarks (three colors; three flavors) pair in a color-flavor locked (CFL) pattern, and all fermionic quasiparticles have a gap. We recently argued that the next phase down in density (as a function of decreasing quark chemical potential {mu} or increasing strange quark mass M{sub s}) is the new 'gapless CFL' (gCFL) phase in which only seven quasiparticles have a gap, while there are gapless quasiparticles described by two dispersion relations at three momenta. There is a continuous quantum phase transition from CFL to gCFL quark matter at M{sub s}{sup 2}/{mu}{approx_equal}2{delta}, with {delta} the gap parameter. Gapless CFL, like CFL, leaves unbroken a linear combination Q-tilde of electric and color charges, but it is a Q-tilde conductor with gapless Q-tilde-charged quasiparticles and a nonzero electron density. In this paper, we evaluate the gapless CFL phase, in several senses. We present the details underlying our earlier work which showed how this phase arises. We display all nine quasiparticle dispersion relations in full detail. Using a general pairing ansatz that only neglects effects that are known to be small, we perform a comparison of the free energies of the gCFL, CFL, two-flavor (2SC), gapless 2SC, and two-flavor up-strange phases. We conclude that as density drops, making the CFL phase less favored, the gCFL phase is the next spatially uniform quark matter phase to occur. A mixed phase made of colored components would have lower free energy if color were a global symmetry, but in QCD such a mixed phase is penalized severely.

• OSTI ID: 20706099
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 71; 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
DISPERSION RELATIONS
ELECTRON DENSITY
FLAVOR MODEL
FREE ENERGY
PHASE TRANSFORMATIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARK MATTER
QUASI PARTICLES
REST MASS
S QUARKS
SYMMETRY