The existence of multi-monopole solutions to the non-Abelian, Yang-Mills- Higgs equations for arbitrary simple gauge groups

DOI10.1007/BF01208275zbMath0486.35072MaRDI QIDQ1164795

Clifford Henry Taubes

Publication date: 1981

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

zbMATH Keywords

Prasad-Sommerfield limitfinite action solutions

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Parameter counting for singular monopoles on \(\mathbb{R}^3\), Semiclassical framed BPS states, Unnamed Item, Calorons and constituent monopoles, Surface integrals and monopole charges in non-Abelian gauge theories, The Magnetic Monopoles Seventy-five Years Later, Removable singularities in Yang-Mills fields, Expansion in the distance parameter for two vortices close together, On the Yang-Mills-Higgs equations, Magnetic charge lattices, moduli spaces and fusion rules, Wall crossing from Dirac zeromodes, On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential, A note and erratum concerning ``Min-Max theory for the Yang-Mills-Higgs equations, On the construction of monopoles for the classical groups, Quantisation of monopoles with non-abelian magnetic charge, Monopoles and spectral curves for arbitrary Lie groups, Non-Abelian magnetic monopoles, Min-max theory for the Yang-Mills-Higgs equations

Cites Work

• Elliptic Partial Differential Equations of Second Order
• Unnamed Item
• Unnamed Item
• Unnamed Item