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

Spenta R. Wadia, Sumit R. Das

Research output: Contribution to journalArticlepeer-review

24 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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