First Order Framework for Gauge k-Vortices

Bazeia, D.  (Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, Brazil) ; Losano, L. (Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, Brazil) ; Marques, M. A. (Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, Brazil) ; Menezes, R. (Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, Brazil) (Departamento de Ciências Exatas, Universidade Federal da Paraíba, 58297-000 Rio Tinto, PB, Brazil)

19 December 2018

Abstract: We study vortices in generalized Maxwell-Higgs models, with the inclusion of a quadratic kinetic term with the covariant derivative of the scalar field in the Lagrangian density. We discuss the stressless condition and show that the presence of analytical solutions helps us to define the model compatible with the existence of first order equations. A method to decouple the first order equations and to construct the model is then introduced and, as a bonus, we get the energy depending exclusively on a function of the fields calculated from the boundary conditions. We investigate some specific possibilities and find, in particular, a compact vortex configuration in which the energy density is all concentrated in a unit circle.


Published in: Advances in High Energy Physics 2018 (2018) 9635427
Published by: Hindawi
DOI: 10.1155/2018/9635427
arXiv: 1806.06755v2
License: CC-BY-3.0



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