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APS » Phys. Rev. D » Volume 74 » Issue 8

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Phys. Rev. D 74, 085010 (2006) [13 pages]

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

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Tomás Brauner
Department of Theoretical Physics, Nuclear Physics Institute, 25068 Rez, Czech Republic

Received 11 July 2006; published 10 October 2006

Weinvestigate spontaneous symmetry breaking within the linear sigma model withthe SU(2)×U(1) internal symmetry at finite chemical potential, which wassuggested as a model for kaon condensation in the color-flavor-lockedphase of dense quark matter. One-loop corrections to the scalarfield effective potential as well as its propagator are calculated.Particular attention is paid to the type-II Goldstone boson thatappears in the Bose-Einstein condensed phase. Furthermore, we show thatthe type-I Goldstone boson—the superfluid phonon—is allowed to decay dueto the nonlinearity of its dispersion relation at high momentum,and determine its decay width.

©2006 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevD.74.085010
DOI:	10.1103/PhysRevD.74.085010
PACS:	11.30.Qc 11.30.Qc Spontaneous and radiative symmetry breaking in particles and fields YEAR: 2006

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