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Phys. Rev. D 75, 014015 (2007) [16 pages]

Inhomogeneity driven by Higgs instability in a gapless superconductor

Ioannis Giannakis
Physics Department, The Rockefeller University, 1230 York Avenue, New York, New York 10021-6399, USA

Defu Hou
Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China

Mei Huang
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100039, China

Hai-cang Ren
Physics Department, The Rockefeller University, 1230 York Avenue, New York, New York 10021-6399 and Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, China
Received 15 October 2006; published 19 January 2007

The fluctuations of the Higgs and pseudo Nambu-Goldstone fields in the 2-flavor color superconductivity (2SC) phase with mismatched pairing are described in the nonlinear realization framework of the gauged Nambu-Jona-Lasinio model. In the gapless 2SC phase, not only Nambu-Goldstone currents can be spontaneously generated, but also the Higgs field exhibits instablity. The Nambu-Goldstone currents generation indicates the formation of the single plane wave Larkin-Ovchinnikov-Fulde-Ferrel state and breaks rotation symmetry, while the Higgs instability favors spatial inhomogeneity and breaks translation invariance. In this paper, we focus on the Higgs instability which has not drawn much attention yet. The Higgs instability cannot be removed without a long range force, thus it persists in the gapless superfluidity and induces phase separation. In the case of gapless 2-flavor color superconductivity state, the Higgs instability can only be partially removed by the electric Coulomb energy. However, it is not excluded that the Higgs instability might be completely removed in the charge neutral gapless color-flavor locked phase by the color Coulomb energy.

©2007 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.75.014015
DOI: 10.1103/PhysRevD.75.014015
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: 2007

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