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Twistor Geometry and Field Theory
     

Twistor Geometry and Field Theory

by R. S. Ward
 

ISBN-10: 052142268X

ISBN-13: 9780521422680

Pub. Date: 06/28/2004

Publisher: Cambridge University Press

This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of space-time and field

Overview

This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of space-time and field theories. The book is designed to be used by mathematicians and physicists and so the authors have made it reasonably self-contained. The first part contains a development of the necessary mathematical background. In the second part, Yang-Mills fields and gravitational fields (the basic fields of contemporary physics) are described at the classical level. In the final part, the mathematics and physics are married to solve a number of field-theoretical problems.

Product Details

ISBN-13:
9780521422680
Publisher:
Cambridge University Press
Publication date:
06/28/2004
Series:
Cambridge Monographs on Mathematical Physics Series
Edition description:
Reprint
Pages:
532
Product dimensions:
5.98(w) x 8.98(h) x 1.18(d)

Table of Contents

Part I. Geometry: 1. Klein correspondence; 2. Fibre bundles; 3. Differential geometry; 4. Integral geometry; Part II. Field Theory: 5. Linear field theory; 6. Gauge theory; 7. General relativity; Part III. The Penrose Transform: 8. Massless free fields; 9. Self-dual gauge fields; 10. Self-dual space-times; 11. General gauge fields; 12. Stationary axisymmetric space-times; Special topics.

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