Manton N., Sutcliffe P. Topological Solitons

Cambridge University Press, 2004 — 506 pp. — (Cambridge Monographs on Mathematical Physics). — ISBN: 9780521838368.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.Clear and accessible
Self-contained and thorough
Suitable for newcomers to the field as well as seasoned researchersLagrangians and fields
Topology in field theory
Solitons - general theory
Kinks
Lumps and rational maps
Vortices
Monopoles
Skyrmions
Instantons
Saddle points - sphalerons