Green's functions and ordered exponentials / H.M. Fried.

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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.