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Phys. Rev. D 75, 114004 (2007) [13 pages]

Ground state of gapless two flavor color superconductors

R. Gatto
Départ. de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland

M. Ruggieri
Dipartimento di Fisica, Università di Bari, I-70126 Bari, Italy and INFN, Sezione di Bari, I-70126 Bari, Italy
Received 29 March 2007; published 14 June 2007

This paper is devoted to the study of some aspects of the instability of two flavor color-superconductive quark matter. We find that, beside color condensates, the Goldstone boson related to the breaking of U(1)A suffers from a velocity instability. We relate this wrong sign problem, which implies the existence of a Goldstone current in the ground state or of gluonic condensation, to the negative squared Meissner mass of the 8th gluon in the gapless two flavor color superconductor (g2SC) phase. Moreover we investigate the Meissner masses of the gluons and the squared velocity of the Goldstone in the multiple-plane-wave Larkin-Ovchinnikov-Fulde-Ferrel (LOFF) states, arguing that in such phases both the chromomagnetic instability and the velocity instability are most probably removed. We also do not expect Higgs instability in such multiple-plane-wave LOFF, at least when one considers fluctuations with small momenta. The true vacuum of gapless two flavor superconductors is thus expected to be a multiple-plane-wave LOFF state.

©2007 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.75.114004
DOI: 10.1103/PhysRevD.75.114004
PACS: 12.38.-t; 74.20.Fg
  • 12.38.-t
    Quantum chromodynamics
  • 74.20.Fg
    BCS theory of superconductivity and its development
  • YEAR: 2007

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