Solitons in Field Theory and Nonlinear Analysis /
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...
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| Format: | eBook |
| Language: | English |
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New York, NY :
Springer New York,
2001.
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| Series: | Springer monographs in mathematics.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xxiv, 553 pages) |
| ISBN: | 9781475765489 (electronic bk.) 1475765487 (electronic bk.) |
| ISSN: | 1439-7382 |