Existence and stability of semilocal strings

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...

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Bibliographic Details
Published in:Physical review letters 1992-03, Vol.68 (9), p.1263-1266
Main Author: HINDMARSH, M
Format: Article
Language:English
Subjects:
ANALYTICAL SOLUTION
BOSON-EXCHANGE MODELS
Classical and quantum physics: mechanics and fields
COMPOSITE MODELS
EIGENVALUES
Exact sciences and technology
EXTENDED PARTICLE MODEL
FIELD THEORIES
LAGRANGIAN FIELD THEORY
LIE GROUPS
LIMITING VALUES
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
PERIPHERAL MODELS
PHI4-FIELD THEORY
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
QUARK MODEL
SIGMA MODEL
STABILITY
STRING MODELS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
Theory of quantized fields
TOPOLOGY
U GROUPS 662110 > General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
U-1 GROUPS
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Summary: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 {ital m}{sub {ital s}} is less than or greater than {ital m}{sub {ital v}} (where {ital m}{sub {ital s}} and {ital m}{sub {ital v}} are the masses of the Higgs and vector particles, respectively). At the boundary, {ital m}{sub {ital s}}={ital m}{sub {ital v}}, there is a two-parameter family of solutions all saturating a Bogomol'nyi bound. The relationship of the vortices to CP{sup {ital n}} {sigma}-model lumps is pointed out.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.68.1263