Résumé
This book is on soliton solutions of elliptical partial
differential equations arising in quantum field theory,
such as vortices, instantons, monopoles, dyons, and cosmic
strings. The book presents in-depth description of the
problems of current interest, forging a link between
mathematical analysis and physics and seeking to stimulate
further research in the area. Physically, it touches the
major branches of field theory: classical mechanics,
special relativity, Maxwell equations, superconductivity,
Yang-Mills gauge theory, general relativity, and cosmology.
Mathematically, it involves Riemannian geometry, Lie groups
and Lie algebras, algebraic topology (characteristic
classes and homotropy) and emphasizes modern nonlinear
functional analysis. There are many interesting and
challenging problems in the area of classical field theory,
and while this area has long been of interest to
algebraists, geometers, and topologists, it has gradually
begun to attract the attention of more analysts. This book
written for researchers and graduate students will appeal
to high-energy and condensed-matter physicists,
mathematicians, and mathematical scientists.
Contents
- Preface
- Primer of Field Theory
- Sigma Models
- Multiple Instantons and Characteristic Classes
- Generalized Abelian Higgs Equations
- Chern-Simons Systems: Abelian Case
- Chern-Simons Systems: Non-Abelian Case
- Electroweak Vortices
- Dyons
- Ordinary Differential Equations
- Strings in Cosmology
- Vortices and Antivortices
- Born-Infeld Solutions
- References
- Bibliography
- Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Yisong Yang |
| Parution | 15/04/2001 |
| Nb. de pages | 552 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 925g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780387952420 |
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