Topological quantization of magnetic monopoles and their bifurcation theory
type: Item
instance of: scholarly article
title: Topological quantization of magnetic monopoles and their bifurcation theory
zbMATH Open document ID: 0977.53071
DOI: 10.1023/A:1026615025005
published in: International Journal of Theoretical Physics
publication date: 2000-05-11T00:00:00Z
review text: Based on the 't Hooft \(SU(2)\) gauge field theory and using the \(\varphi\)-mapping method, the authors quantize the magnetic monopoles at the topological level and determine their quantum numbers by the Hopf indices and Brouwer degrees of the \(\varphi\)-mapping. Further they investigate the origin and bifurcation theories of magnetic monopoles at the limit points and bifurcation points, including first-order and second-order degenerate points, respectively. Finally, it is pointed out that the branching process of magnetic monopoles is not a gradual change, but a sudden one and that a magnetic monopole can split into at most four particles at one time.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 58E50
zbMATH DE Number: 1337975
zbMATH Keywords: magnetic monopole
zbMATH Keywords: bifurcation theory
zbMATH Keywords: topological quantization
zbMATH Keywords: gauge field theory
zbMATH Keywords: Hopf index
zbMATH Keywords: Brouwer degree
author: Guo-Hong Yang
author: Yishi Duan
reviewed by: A. V. Aminova
MaRDI profile type: Publication
full work available at URL: a:1026615025005
OpenAlex ID: W120571584
description: scientific article; zbMATH DE number 1337975