Non-Abelian Yang-Mills–Higgs vortices

Navarro-Lérida, Francisco and Tchrakian, D. H. (2009) Non-Abelian Yang-Mills–Higgs vortices. Physical Review D, 81 (12). ISSN 1550-7998

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Official URL: http://doi.org/10.1103/PhysRevD.81.127702

Abstract

In this Letter 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 λ. For all values of λ, their energies lie below those of the Abelian energy profiles, the latter being logarithmically divergent as λ → ∞. The non-Abelian branches plateau in the limit λ → ∞ and their number increases with λ, this number becoming infinite. For each vorticity, the gaps between the plateauing energy levels become constant. In this limit the non-Abelian vortices are non-interacting and are described by the self-dual vortices of the O(3) sigma model. Hence by continuity, we can expect that they are stable also for finite values of λ.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:19
Last Modified: 13 Jul 2018 11:23
URI: http://dair.dias.ie/id/eprint/250

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