Topological Solitons
£67.99
Part of Cambridge Monographs on Mathematical Physics
 Authors:
 Nicholas Manton, University of Cambridge
 Paul Sutcliffe, University of Durham
 Date Published: October 2007
 availability: Available
 format: Paperback
 isbn: 9780521040969
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Topological solitons occur in many nonlinear classical field theories. They are stable, particlelike objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, GinzburgLandau vortices and sigmamodel lumps, and YangMills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy firstorder Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multisoliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.
Read more Clear and accessible
 Selfcontained and thorough
 Suitable for newcomers to the field as well as seasoned researchers
Reviews & endorsements
'The authors are two of the most prominent in the field and have made many seminal contributions to it.' Contemporary Physics
See more reviews'The book is selfcontained and beautifully written. It should remain for a long period of time as a standard reference for anyone interested in solition theory and its application in physics.' Zentralblatt MATH
'… a unique, uptodate and authoritative resource for anyone who wants to learn about the latest developments in the field of topological solitons. Moreover, by clearly exhibiting the essential idea of any topic they discuss, the authors have succeeded in writing a book which should teach mathematicians much about physics and physicists much about mathematics. The book is accessible to graduate students in theoretical physics and mathematics and despite the absence of exercises, could be used a s a textbook for an advanced lecture course.' Nieuw Archief voor Wiskunde
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×Product details
 Date Published: October 2007
 format: Paperback
 isbn: 9780521040969
 length: 508 pages
 dimensions: 244 x 170 x 26 mm
 weight: 0.8kg
 contains: 76 b/w illus. 7 tables
 availability: Available
Table of Contents
Preface
1. Introduction
2. Lagrangians and fields
3. Topology in field theory
4. Solitons  general theory
5. Kinks
6. Lumps and rational maps
7. Vortices
8. Monopoles
9. Skyrmions
10. Instantons
11. Saddle points  sphalerons
References
Index.
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