Non-Abelian Yang-Mills-Higgs vortices

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.127702· OSTI ID:21408134

Navarro-Lerida, Francisco ^[1]; Tchrakian, D H ^[2]

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1. Department de Fisica Atomica, Molecular y Nuclear, Universidad Complutense de Madrid, E-28040 Madrid (Spain)
2. School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4 (Ireland)

In this article we present new, genuinely non-Abelian vortex solutions in SU(2) Yang-Mills-Higgs theory with only one isovector scalar field. These non-Abelian solutions branch off their Abelian counterparts (Abrikosov-Nielsen-Olesen vortices) for precise values of the Higgs potential coupling constant {lambda}. For all values of {lambda}, their energies lie below those of the Abelian energy profiles, the latter being logarithmically divergent as {lambda}{yields}{infinity}. The non-Abelian branches plateau in the limit {lambda}{yields}{infinity} and their number increases with {lambda}, this number becoming infinite. For each vorticity, the gaps between the plateauing energy levels become constant. In this limit the non-Abelian vortices are noninteracting and are described by the self-dual vortices of the O(3) sigma model. In the absence of a topological lower bound, we expect these non-Abelian vortices to be sphalerons.

• OSTI ID: 21408134
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-EXCHANGE MODELS
BOSONS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
ENERGY LEVELS
HIGGS BOSONS
HIGGS MODEL
ISOVECTORS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MATHEMATICS
PARTICLE MODELS
PERIPHERAL MODELS
POSTULATED PARTICLES
SCALAR FIELDS
SIGMA MODEL
TENSORS
TOPOLOGY
VECTORS
VORTICES
YANG-MILLS THEORY