Selfdual Gauge Field Vortices - An Analytical Approach (Hardcover, Revised and Ext)

This monograph discusses specific examples of selfdual gauge field structures, including the Chern Simons model, the abelian Higgs model, and Yang Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern Simons Higgs theories (in both abelian and non-abelian settings). Thereafter, the Electroweak theory and self-gravitating Electroweak strings are examined. The final chapters treat elliptic problems involving Chern Simmons models, concentration-compactness principles, and Maxwell Chern Simons vortices.

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