Synopses & Reviews
This book presents a functional approach to the construction, use and approximation of Greens 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 new approximations for the treatment of color fluctuations in high-energy QCD scattering. Suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics.
Synopsis
A detailed exposition, with applications to problems in potential theory and quantum field theory.
Synopsis
This book provides a coherent account of the construction, use and approximation of Green's functions and their associated ordered exponentials. Topics covered include applications to problems in potential theory and quantum field theory, as well as particle production in crossed laser fields and non-constant electric fields. For graduates and researchers.
Table of Contents
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. Very high energy scattering; 9. Unitary ordered exponentials; 10. An ordered-exponential approach to fluids.