Existence and stability of semilocal strings

Physics

Scientific paper

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Spontaneous Breaking Of Gauge Symmetries, Classical And Semiclassical Techniques, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

It has recently been shown that a certain model field theory [which gives the Abelian Higgs model a global SU(2) symmetry by duplicating the scalar sector] possesses static finite-energy vortex solutions despite having a simply connected vacuum manifold. It is demonstrated here that they are stable or unstable according to whether ms is less than or greater than mv (where ms and mv are the masses of the Higgs and vector particles, respectively). At the boundary, ms=mv, there is a two-parameter family of solutions all saturating a Bogomol'nyi bound. The relationship of the vortices to CPn σ-model lumps is pointed out.

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