Topological Quantization of Magnetic Monopoles andTheir Bifurcation Theory
详细信息 查看全文
文摘
Using SU(2) gauge field theory and the&phis;-mapping method, we quantize the magnetic monopolesat the topological level and determine their quantumnumbers by the Hopf indices and Brouwer degrees of the &phis;-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.