Homotopy, monopoles and 't Hooft tensor for generic gauuge groups

2008/08/29 by A. Di Giacomo, L. Lepori, Di Giacomo, A. +5
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Physics #Pure mathematics #Tensor (intrinsic definition) #Theoretical physics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.0808.4041

15 pages

arxiv created 2008/08/29 · openalex publication_date 2008/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study monopoles and corresponding 't Hooft tensor in a generic gauge theory. This issue is relevant to the understanding of the color confinement in terms of dual symmetry.

Citations

• On the phase transition towards permanent quark confinement
• Abelian projection in SU(N) gauge theories
• Gauge Theory, Ramification, And The Geometric Langlands Program

Related

• Monopoles and the 't Hooft tensor for generic gauge group
• Homotopy, monopoles and 't Hooft tensor in QCD with generic gauge group
• The 't Hooft–Polyakov monopole in the presence of a 't Hooft operator
• On Some Features of Color Confinement
• Confinement of color and geometry