1999/09/06 by Oliver Jahn
Engineering · Mathematics · Physics and Astronomy · #Abelian group #Gauge theory #Geometry #Instanton #Introduction to gauge theory #Invariant (physics) #Magnetic monopole #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Superconducting Materials and Applications #Theoretical physics #Twist #hep-th
paper · pdf · doi:10.1088/0305-4470/33/15/307
published as J.Phys.A33:2997-3019,2000 · 28 pages, 8 figures; comments added to put work into proper context
arxiv created 1999/09/06 · openalex publication_date 2000/04/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A relation between the total instanton number and the quantum numbers of magnetic monopoles that arise in general Abelian gauges in SU (2) Yang-Mills theory is established. The instanton number is expressed as the sum of the `twists' of all monopoles, where the twist is related to a generalized Hopf invariant. The origin of a stronger relation between instantons and monopoles in the Polyakov gauge is discussed.