Selfdual Gauge Field Vortices: An Analytical Approach

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.

Author: Gabriella Tarantello
Publisher: Birkhauser
Published: 05/01/2008
Pages: 325
Binding Type: Hardcover
Weight: 1.34lbs
Size: 9.48h x 6.36w x 0.87d
ISBN: 9780817643102