Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-03-26
Phys.Rev.D75:114004,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, RevTe3X4 style
Scientific paper
10.1103/PhysRevD.75.114004
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 of 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 $8^{th}$ gluon in the g2SC phase. Moreover we investigate the Meissner masses of the gluons and the squared velocity of the Goldstone in the multiple plane wave LOFF states, arguing that in such phases both the chromo-magnetic instability and the velocity instability are most probably removed. We also do not expect Higgs instability in such multiple plane wave LOFF. The true vacuum of gapless two flavor superconductors is thus expected to be a multiple plane wave LOFF state.
Gatto Raoul
Ruggieri Marco
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