Topological Solitons [Paperback]

Comprehensive survey of static topological solitons and their dynamical interactions, for graduates and researchers.This book introduces the main examples of topological solitons in classical field theories, discusses the forces between solitons, and surveys in detail both static and dynamic multi-soliton solutions. Kinks in one dimension, lumps and vortices in two dimensions, monopoles and Skyrmions in three dimensions, and instantons in four dimensions are all discussed, providing a self-contained overview for both physicists and mathematicians.This book introduces the main examples of topological solitons in classical field theories, discusses the forces between solitons, and surveys in detail both static and dynamic multi-soliton solutions. Kinks in one dimension, lumps and vortices in two dimensions, monopoles and Skyrmions in three dimensions, and instantons in four dimensions are all discussed, providing a self-contained overview for both physicists and mathematicians.This book introduces the main examples of topological solitons in classical field theories, discusses the forces between solitons, and surveys in detail both static and dynamic multi-soliton solutions. Kinks in one dimension, lumps and vortices in two dimensions, monopoles and Skyrmions in three dimensions, and instantons in four dimensions are all discussed.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.'The authors are two of the most prominent in the field and have made many seminal contributions to it.' Contemporary Physics'The book is self-contained 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, up-to-date and authoritative resource for al)