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Topological solutions in gauge theory and their computer graphic representation. (English) Zbl 1226.81127

Summary: A diverse range of physical phenomena, both observed and hypothetical, are described by topological solutions to nonlinear gauge field theories. Computer-generated color graphic displays can provide a clear and detailed representation of some of these solutions, which might otherwise be physically unintelligible because of their mathematical complexity. Graphical representations are presented here for two topological solutions: (i) the solutions of a model that represents the filaments of quantized magnetic flux in a superconductor, and (ii) the solutions of an SO(3) gauge theory corresponding to a pair of separated magnetic monopoles. An introduction is provided to the gauge field theories giving rise to these solutions.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81-04 Software, source code, etc. for problems pertaining to quantum theory
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