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Twinlike models for self-dual Maxwell-Higgs theories

D. Bazeia1,2, E. da Hora1,3, and R. Menezes2,4

  • 1Departamento de Física, Universidade Federal da Paraíba, 58051-900, João Pessoa, Paraíba, Brazil
  • 2Departamento de Física, Universidade Federal de Campina Grande, 58109-970, Campina Grande, Paraíba, Brazil
  • 3Department of Mathematical Sciences, Durham University, DH1 3LE, Durham, County Durham, United Kingdom
  • 4Departamento de Ciências Exatas, Universidade Federal da Paraíba, 58297-000, Rio Tinto, Paraíba, Brazil

Phys. Rev. D 85, 045005 – Published 6 February, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.045005

Abstract

In this work we present a theoretical framework that allows for the existence of coherent twinlike models in the context of self-dual Maxwell-Higgs theories. We verify the consistency of this framework by using it to develop some twinlike self-dual Maxwell-Higgs models. We use a combination of theoretical and numerical techniques to show that these models exhibit the very same topological Bogomol’nyi-Prasad-Sommerfield structures, including their field configurations and total energy. The study shows that it is possible to develop a completely consistent prescription, which extends the idea of twinlike models to the case of vortices in Maxwell-Higgs theories.

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