Topological solitons occur in many nonlinear classical field
theories. They are stable, particle-like objects, with finite mass
and a smooth structure. Examples are monopoles and Skyrmions,
Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills
instantons. This book is a comprehensive survey of static
topological solitons and their dynamical interactions. Particular
emphasis is placed on the solitons which satisfy first-order
Bogomolny equations. For these, the soliton dynamics can be
investigated by finding the geodesics on the moduli space of static
multi-soliton 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.
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