Topology of quantum gauge fields and duality (I): Yang-Mills-Higgs system in 2 + 1 dimensions |
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Authors: | Spenta R Wadia Sumit R Das |
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Institution: | The Enrico Fermi Institute, The University of Chicago, Chicago, IL 60637, USA |
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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 1SU(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. |
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