Self-dual Gauge Field Vortices: An Analytical Approach (Progress in Nonlinear Differential Equations and Their Applications): 72

Self-dual Gauge Field Vortices: An Analytical Approach (Progress in Nonlinear Differential Equations and Their Applications): 72

by Gabriella Tarantello (Author)

Synopsis

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.

$193.32

Quantity

20+ in stock

More Information

Format: Hardcover
Pages: 340
Edition: 2008
Publisher: Birkhäuser
Published: 02 Jun 2008

ISBN 10: 0817643109
ISBN 13: 9780817643102

Media Reviews

From the reviews:

This monograph is devoted to a mathematical study of selfdual gauge theories using critical point theory and some analytical and topological techniques. ... The book ends with a substantial bibliography and a useful index. This monograph, dealing in a clear way with some `hot' topics of theoretical physics and geometry, will be of interest both to mathematicians and physicists. (Jean Mawhin, Zentralblatt MATH, Vol. 1177, 2010)