Chemical bonds of two vortex species with a generalized Josephson term and arbitrary charges

Chandrasekhar Chatterjee, Sven Bjarke Gudnason, Muneto Nitta

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Abstract

We consider the Abelian-Higgs model with two complex scalar fields and arbitrary positive integer charges with the addition of a higher-order generalization of the Josephson term. The theory possesses vortices of both local and global variants. The only finite-energy configurations are shown to be the local vortices for which a certain combination of vortex numbers and electric charges — called the global vortex number — vanishes. The local vortices have rational fractional magnetic flux, as opposed to the global counterparts that can have an arbitrary fractional flux. The global vortices have angular domain walls, which we find good analytic approximate solutions for. Finally, we find a full classification of the minimal local vortices as well as a few nonminimal networks of vortices, using numerical methods.

Original languageEnglish
Article number109
JournalJournal of High Energy Physics
Volume2020
Issue number4
DOIs
Publication statusPublished - 2020 Apr 1

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Keywords

  • Field Theories in Lower Dimensions
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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