1999/01/23 by Stefan Hollands, S. Hollands, M. Müller–Preussker +1 · 1 citation
Physics and Astronomy · #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.63.094503
published as Phys.Rev. D63 (2001) 094503 · 13 pages, Latex, 2 figures
arxiv created 1999/01/23 · openalex publication_date 2001/04/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A geometric definition for a magnetic charge of Abelian monopoles in SU(N) lattice gauge theories with Higgs fields is presented. The corresponding local monopole number defined for almost all field configurations does not require gauge fixing and is stable against small perturbations. Its topological content is that of a three-cochain. A detailed prescription for calculating the local monopole number is worked out. Our method generalizes a magnetic charge definition previously invented by Phillips and Stone for SU(2).