Twistor Geometry and Field Theory
This book deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, algebraic topology and results in a new perspective on the properties of space and time. The authors firstly develop the mathematical background, then go on to discuss Yang-Mills fields and gravitational fields in classical language, and in the final part a number of field-theoretic problems are solved. Issued here for the first time in paperback, this self-contained volume should be of use to graduate mathematicians and physicists and research workers in theoretical physics, relativity, and cosmology.
- 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
Product details
February 2011Adobe eBook Reader
9780511869778
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.