Spontaneous symmetry breaking in the linear sigma model at finite chemical potential: One-loop corrections
نویسنده
چکیده
We investigate spontaneous symmetry breaking within the linear sigma model with the SU(2)× U(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 typeII 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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