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Selfdual Gauge Field Vortices: An Analytical Approach

Selfdual Gauge Field Vortices: An Analytical Approach

Hardcover

Series: Progress in Nonlinear Differential Equations and Their Appli, Book 72

General MathematicsPhysics

ISBN10: 0817643109
ISBN13: 9780817643102
Publisher: Birkhauser
Published: May 1 2008
Pages: 325
Weight: 1.34
Height: 0.87 Width: 6.36 Depth: 9.48
Language: English

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.

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General Mathematics