Selfdual Gauge Field Vortices: An Analytical Approach (Progress in Nonlinear Differential Equations and Their Appli #72) (Hardcover)

Selfdual Gauge Field Vortices: An Analytical Approach (Progress in Nonlinear Differential Equations and Their Appli #72) By Gabriella Tarantello Cover Image
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Description


This monograph discusses specific examples of selfdual gauge field structures. 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. Many open questions still remain in the field and are examined in this work in connection with Liouville-type equations and systems. The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts.

Product Details
ISBN: 9780817643102
ISBN-10: 0817643109
Publisher: Birkhauser
Publication Date: May 1st, 2008
Pages: 325
Language: English
Series: Progress in Nonlinear Differential Equations and Their Appli