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 language | English |
|---|---|
| Pages (from-to) | 386-392 |
| Number of pages | 7 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 106 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 19 1981 |
Bibliographical note
Funding Information:Work supported in part by the NSF, contract no. PHY-78-23669.
Funding
Work supported in part by the NSF, contract no. PHY-78-23669.
| Funders | Funder number |
|---|---|
| National Science Foundation (NSF) | PHY-78-23669 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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