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Solitons and Instantons, Volume 15 - An Introduction to Solitons and Instantons in Quantum Field Theory (Paperback, New edition)
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Solitons and Instantons, Volume 15 - An Introduction to Solitons and Instantons in Quantum Field Theory (Paperback, New edition)
Series: North-Holland Personal Library
Expected to ship within 12 - 17 working days
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This book offers an elementary and unified introduction to the
non-perturbative results obtained in relativistic quantum field
theory based on classical soliton and instanton solutions. Such
solutions are derived for a variety of models and classified by
topological indices. The methods are then developed for quantizing
solitons to obtain quantum particles. Vacuum tunneling,
&ugr;-vacua and the dilute-instanton-gas approximation are
described in detail. Other instanton effects related to quark-quark
forces, confinement, the U(1) problem and Borel summability are
also discussed. The emphasis is on presenting the basic ideas in a
simple pedagogical way. Technical tools like functional methods,
Grassman integrals, homotopy classification, collective
co-ordinates etc. are developed ab initio.
The presentation of this work is kept at a fairly simple level and
ideas are developed through illustrative examples. Techniques not
covered in older field theory textbooks, such as functional
integral methods, are presented in some detail to the necessary
extent. These techniques are important in their own right. Although
the book is mainly addressed to particle physicists and quantum
field theorists, several portions will be of relevance to other
branches of physics, particularly statistical mechanics. These
include three chapters devoted to deriving classical soliton and
instanton solutions and one on collective co-ordinates, as well as
sections devoted to general techniques.
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