Spontaneous rotational symmetry breaking and roton like excitations in gauged σ-model at finite density

V. P. Gusynin; V. A. Miransky; Igor Shovkovy

doi:10.1016/j.physletb.2003.11.042

Spontaneous rotational symmetry breaking and roton like excitations in gauged σ-model at finite density

V. P. Gusynin, V. A. Miransky, Igor Shovkovy

Research output: Contribution to journal › Article

38 Scopus citations

Abstract

The linear σ-model with a chemical potential for hypercharge is a toy model for the description of the dynamics of the kaon condensate in high density QCD. We analyze the dynamics of the gauged version of this model. It is shown that spontaneous breakdown of SU(2) × U(1)_Y symmetry, caused by the chemical potential, is always accompanied by spontaneous breakdown of both rotational symmetry and electromagnetic U(1)_em. The spectrum of excitations in this model is rich and, because of rotational symmetry breakdown, anisotropic. It is shown that there exist excitation branches that behave as phonon like quasiparticles for small momenta and as roton like ones for large momenta. This suggests that this model can be relevant for anisotropic superfluid systems.

Original language	English (US)
Pages (from-to)	82-92
Number of pages	11
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	581
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physletb.2003.11.042
State	Published - Feb 12 2004
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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Gusynin, V. P., Miransky, V. A., & Shovkovy, I. (2004). Spontaneous rotational symmetry breaking and roton like excitations in gauged σ-model at finite density. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 581(1-2), 82-92. https://doi.org/10.1016/j.physletb.2003.11.042

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