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Twistor Geometry and Field Theory

Twistor Geometry and Field Theory

$110.00 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: July 1991
  • availability: Available
  • format: Paperback
  • isbn: 9780521422680

$ 110.00 (C)

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About the Authors
  • 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.

    • A topic of wide interest - in quantum field theory, and increasingly in the study of 'superstrings'
    • The authors have been major figures in the development of 'twistor' theory
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    Reviews & endorsements

    "... skillfully written. It will serve as a relatively accessible introduction to twistor theory for many readers who have not studied the subject before. Others will find it useful as a refresher and as a source of many valuable insights." Nature

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    Product details

    • Date Published: July 1991
    • format: Paperback
    • isbn: 9780521422680
    • length: 532 pages
    • dimensions: 228 x 150 x 29 mm
    • weight: 0.77kg
    • availability: Available
  • 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.

  • Authors

    R. S. Ward, University of Durham

    Raymond O. Wells, Jr, Rice University, Houston

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