Vortices in gauge models at finite density with vector condensates

Details Vortices in gauge models at finite density with vector condensates Vortices in gauge models at finite density with vector condensates

2005-12-15

arxiv.org/abs/hep-ph/0512203v2

Phys.Rev. D73 (2006) 045001

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex, 13 pages, 4 figures, v2: to match PRD version

Scientific paper

10.1103/PhysRevD.73.045001

There exists a class of gauge models incorporating a finite density of matter in which the Higgs mechanism is provided by condensates of gauge (or gauge and scalar) fields, i.e., there are vector condensates in this case. We describe vortex solutions in the simplest model in this class, the gauged $SU(2)\times U(1)_Y$ $\sigma$-model with the chemical potential for hypercharge $Y$, in which the gauge symmetry is completely broken. It is shown that there are three types of topologically stable vortices in the model, connected either with photon field or hypercharge gauge field, or with both of them. Explicit vortex solutions are numerically found and their energy per unit length are calculated. The relevance of these solutions for the gluonic phase in the dense two-flavor QCD is discussed.

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