Solitons in Field Theory and Nonlinear Analysis

By:

Yisong Yang

Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

This book is on soliton solutions of elliptical partial differential equations arising in quantum field theory, such as vortices, instantons, monopoles, dyons, and cosmic strings. The book presents in-depth description of the problems of current interest, forging a link between mathematical analysis and physics and seeking to stimulate further research in the area. Physically, it touches the major branches of field theory: classical mechanics, special relativity, Maxwell equations, superconductivity, Yang-Mills gauge theory, general relativity, and cosmology. Mathematically, it involves Riemannian geometry, Lie groups and Lie algebras, algebraic topology (characteristic classes and homotropy) and emphasizes modern nonlinear functional analysis. There are many interesting and challenging problems in the area of classical field theory, and while this area has long been of interest to algebraists, geometers, and topologists, it has gradually begun to attract the attention of more analysts. This book written for researchers and graduate students will appeal to high-energy and condensed-matter physicists, mathematicians, and mathematical scientists.

Release date NZ

June 15th, 2001

Author

Yisong Yang

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

XXIV, 553 p.

Pages

553

Series

Springer Monographs in Mathematics

Dimensions

156x234x31

ISBN-13

9780387952420

Product ID

5266523

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