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Phys. Rev. D 73, 045007 (2006) [8 pages]

Spontaneous current generation in the 2SC phase

Mei Huang
Physics Department, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
Received 3 May 2005; revised 13 January 2006; published 8 February 2006

It is found that, except chromomagnetic instability, the gapless 2SC phase also exhibits a paramagnetic response to the perturbation of an external color neutral baryon current. The spontaneously generated baryon current driven by the mismatch is equivalent to the one-plane wave Larkin-Ovchinnikov-Fudde-Ferrell (LOFF) state. We describe the 2SC phase in the nonlinear realization framework, and show that each instability indicates the spontaneous generation of the corresponding pseudo-Nambu-Goldstone current. We show this Nambu-Goldstone currents generation state covers the gluon phase as well as the one-plane wave LOFF state. We further point out that, when the charge neutrality condition is required, there exists a narrow unstable LOFF (Us-LOFF) window, where not only off-diagonal gluons but the diagonal 8th gluon cannot avoid the magnetic instability. We discuss that the diagonal magnetic instability in this Us-LOFF window cannot be cured by an off-diagonal gluon condensate in the color superconducting phase, and it will also show up in some constrained Abelian asymmetric superfluid/superconducting systems.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.73.045007
DOI: 10.1103/PhysRevD.73.045007
PACS: 12.38.Aw; 26.60.+c
  • 12.38.Aw
    General properties of QCD (dynamics, confinement, etc.)
  • 26.60.+c
    Nuclear matter aspects of neutron stars
  • YEAR: 2006
KEYWORDS: hadron current, gluons, quantum chromodynamics, quark matter

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