Why instantons are monopoles

DOI10.1007/BF01218625zbMath0753.58041OpenAlexW2088156096MaRDI QIDQ1812535

Michael K. Murray, Howard Garland

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01218625

zbMATH Keywords

asymptotic solutionsinstantonsEuclidean spaceinvariance principlesYang-Mills theorymonopolesscalar fieldssymmetry breakingvector fieldsmetricsfiber bundlestwistor theoryHiggs modelthree-dimensional calculationsunified gauge models

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05) Symmetry breaking in quantum theory (81R40)

Related Items

Singular monopoles from Cheshire bows, Monopoles and their spectral data, Hyperbolic calorons, monopoles, and instantons, Gauge invariance and formal integrability of the Yang-Mills-Higgs equations, The caloron correspondence and higher string classes for loop groups, CIRCLE ACTIONS, CENTRAL EXTENSIONS AND STRING STRUCTURES, The geometry of gauge fields

Cites Work

• Kac-Moody monopoles and periodic instantons
• The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I
• Instantons in two and four dimensions
• Non-Abelian magnetic monopoles
• Instantons and jumping lines
• Nahm's equations and the classification of monopoles
• Monopoles and geodesics
• The classification of monopoles for the classical groups
• Self-duality in four-dimensional Riemannian geometry