Spontaneous symmetry breaking in the linear sigma model at finite chemical potential: One-loop corrections

Details Spontaneous symmetry breaking in the linear sigma model at finite chemical potential: One-loop corrections Spontaneous symmetry breaking in the linear sigma model at finite chemical potential: One-loop corrections

2006-07-10

arxiv.org/abs/hep-ph/0607102v2

Phys.Rev.D74:085010,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, REVTeX4, 37 eps figures; v2: substantial error in Sec. IV corrected, references added, other minor corrections; vers

Scientific paper

10.1103/PhysRevD.74.085010

We investigate spontaneous symmetry breaking within the linear sigma model with the SU(2)xU(1) internal symmetry at finite chemical potential, which was suggested as a model for kaon condensation in the CFL phase of dense quark matter. One-loop corrections to the scalar field effective potential as well as its propagator are calculated. Particular attention is paid to the type-II Goldstone boson that appears in the Bose--Einstein condensed phase. Furthermore, we show that the type-I Goldstone boson -- the superfluid phonon -- is allowed to decay due to the nonlinearity of its dispersion relation at high momentum, and determine its decay width.

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