Green's functions and ordered exponentials
著者
書誌事項
Green's functions and ordered exponentials
Cambridge University Press, 2002
- : hardback
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics.
目次
- Preface
- 1. Introduction
- 2. Elementary functional methods
- 3. Schwinger-Fradkin methods
- 4. Lasers and crossed lasers
- 5. Special variants of the Fradkin representation
- 6. Quantum chaos and vectorial interactions
- 7. Infrared approximations
- 8. Models of high-energy, non-Abelian scattering
- 9. Unitary ordered exponentials.
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