Hopf symmetry breaking and confinement in (2+1)-dimensional gauge theory

Alexander F. Bais, Bernd J. Schroers, Joost K. Slingerland

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Gauge theories in 2+1 dimensions whose gauge symmetry is spontaneously broken to a finite group enjoy a quantum group symmetry which includes the residual gauge symmetry. This symmetry provides a framework in which fundamental excitations (electric charges) and topological excitations (magnetic fluxes) can be treated on an equal footing. In order to study symmetry breaking by both electric and magnetic condensates we develop a theory of symmetry breaking which is applicable to models whose symmetry is described by a quantum group (quasitriangular Hopf algebra). Using this general framework we investigate the symmetry breaking and confinement phenomena which occur in (2+1)-dimensional gauge theories. Confinement of particles is linked to the formation of stringlike defects. Symmetry breaking by an electric condensate leads to magnetic confinement and vice-versa. We illustrate the general formalism with examples where the symmetry is broken by electric, magnetic and dyonic condensates.

Original languageEnglish
Pages (from-to)1595-1656
Number of pages62
JournalJournal of High Energy Physics
Volume7
Issue number5
DOIs
Publication statusPublished - 24 Jun 2003

Keywords

  • topological field theories
  • spontaneous symmetry breaking
  • confinement
  • quantum groups
  • CROSSED-PRODUCTS
  • QUANTUM GROUPS
  • HIGGS PHASE
  • ALGEBRAS
  • HIERARCHY
  • STATES
  • FLUX

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