Topology of quantum gauge fields and duality (I): Yang-Mills-Higgs system in 2 + 1 dimensions

Spenta R. Wadia, Sumit R. Das

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1 Scopus citations

Abstract

The basic role of the representation of the gauge group in characterizing the topological excitations of the vacuum is pointed out. For SU(N) gauge fields on a lattice, the topological excitations are monopoles in the adjoint representation of the dual group *SU(N). This leads to a dual representation of the Yang-Mills-Higgs system in 2 + 1 dimensions. For SU(3) the deal theory in a scalar theory with discrete Weyl symmetry S3. In the presence of adjoint Higgs fields the Weyl symmetry is broken in the Higgs phase but restored by pseudo-particles in the confinement phase.

Original languageEnglish
Pages (from-to)386-392
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume106
Issue number5
DOIs
StatePublished - Nov 19 1981

Bibliographical note

Funding Information:
Work supported in part by the NSF, contract no. PHY-78-23669.

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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