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

Spenta R. Wadia; Sumit R. Das

doi:10.1016/0370-2693(81)90648-1

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

Spenta R. Wadia, Sumit R. Das

Physics And Astronomy

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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 ^*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	https://doi.org/10.1016/0370-2693(81)90648-1
State	Published - 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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10.1016/0370-2693(81)90648-1

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

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.",

author = "Wadia, {Spenta R.} and Das, {Sumit R.}",

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

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AU - Das, Sumit R.

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PY - 1981/11/19

Y1 - 1981/11/19

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AB - 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.

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

Abstract

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