Gabriella Tarantello

Selfdual Gauge Field Vortices (eBook, PDF)

An Analytical Approach

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 325
• Erscheinungstermin: 16. April 2008
• Englisch
• ISBN-13: 9780817646080
• Artikelnr.: 37341041

Autorenporträt

Gabriella Tarantello, Università di Roma "Tor Vergata", Italy

Inhaltsangabe

Selfdual Gauge Field Theories.- Elliptic Problems in the Study of Selfdual Vortex Configurations.- Planar Selfdual Chern-Simons Vortices.- Periodic Selfdual Chern-Simons Vortices.- The Analysis of Liouville-Type Equations With Singular Sources.- Mean Field Equations of Liouville-Type.- Selfdual Electroweak Vortices and Strings.

Rezensionen

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)