Surface integrals and monopole charges in non-Abelian gauge theories

DOI10.1007/BF01209069zbMath0486.55009MaRDI QIDQ1164883

Clifford Henry Taubes

Publication date: 1981

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

curvature tensorPoincare dualityHiggs scalar fieldHurewicz isomorphismmagnetic charges of a monopole in the adjoint representation of a nonabelian gauge theory in terms of surface integrals at infinityYang-Mills-Higgs field configurations on Minkowski space

Mathematics Subject Classification ID

Degree, winding number (55M25) Fixed-point theorems on manifolds (58C30) Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) General mathematical topics and methods in quantum theory (81Q99) Homotopy theory (55P99) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Homology and cohomology theories in algebraic topology (55N99) Homotopy groups of special spaces (55Q52)

Related Items

Topological charges in monopole theories, The problem of ‘‘global color’’ in gauge theories, The spectrum of Bogomol'nyi solitons in gauged linear sigma models, Dyons and \(S\)-duality in \(N=4\) supersymmetric gauge theory, Supercharges, quantum states and angular momentum for N=4 supersymmetric monopoles, Topology, and (in)stability of non-abelian monopoles, The geometry of gauge fields, Quantisation of monopoles with non-abelian magnetic charge, The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I, Monopole charges for arbitrary compact gauge groups and Higgs fields in any representation

Cites Work

• The existence of multi-monopole solutions to the non-Abelian, Yang-Mills- Higgs equations for arbitrary simple gauge groups
• Topology of Lie groups
• Removable singularities in Yang-Mills fields
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