Abstract
Using SU(2) gauge field theory and theφ-mapping method, we quantize the magnetic monopolesat the topological level and determine their quantumnumbers by the Hopf indices and Brouwer degrees of the φ-mapping. Then, based on the implicitfunction theorem and Taylor expansion, we study theorigin and bifurcation theories of magnetic monopoles atthe limit points and bifurcation points (includingfirst-order and second-order degenerate points),respectively. We point out that a magnetic monopole cansplit into at most four particles at one time.
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Yang, G., Duan, Y. Topological Quantization of Magnetic Monopoles and Their Bifurcation Theory. International Journal of Theoretical Physics 37, 2371–2382 (1998). https://doi.org/10.1023/A:1026615025005
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DOI: https://doi.org/10.1023/A:1026615025005