Selfdual Gauge Field Vortices
An Analytical Approach
(Sprache: Englisch)
This monograph discusses specific examples of selfdual gauge field structures. Many open questions remain in the field and are examined here. The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts.
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This monograph discusses specific examples of selfdual gauge field structures. Many open questions remain in the field and are examined here. The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts.
Klappentext zu „Selfdual Gauge Field Vortices “
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.
Inhaltsverzeichnis zu „Selfdual Gauge Field Vortices “
Preface.- Selfdual Gauge Field Theories.- Elliptic Problems in the Study of Self-ual Vortex Configurations.- Planar Self-dual 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.- References.- Index.
Bibliographische Angaben
- Autor: Gabriella Tarantello
- 2008, 2008, 325 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0817643109
- ISBN-13: 9780817643102
- Erscheinungsdatum: 01.05.2008
Sprache:
Englisch
Rezension zu „Selfdual Gauge Field Vortices “
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)
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