Instability of a gapless color superconductor with respect to inhomogeneous fluctuations

Details Instability of a gapless color superconductor with respect to inhomogeneous fluctuations Instability of a gapless color superconductor with respect to inhomogeneous fluctuations

2006-03-22

arxiv.org/abs/hep-ph/0603179v2

Phys.Rev. D74 (2006) 074020

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 3 figures; corrected Eq. (36) and changed content associated with d quark clustering instability

Scientific paper

10.1103/PhysRevD.74.074020

We systematically apply density functional theory to determine the kind of inhomogeneities that spontaneously develop in a homogeneous gapless phase of neutral two-flavor superfluid quark matter. We consider inhomogeneities in the quark and electron densities and in the phases and amplitude of the order parameter. These inhomogeneities are expected to lead the gapless phase to a BCS-normal coexisting phase, a Larkin-Ovchinnikov-Fulde-Ferrell (LOFF) state with phase oscillations alone, and a LOFF state with amplitude oscillations. We find that which of them the homogeneous system tends towards depends sensitively on the chemical potential separation between up and down quarks and the gradient energies.

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