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.

A detailed exposition, with applications to problems in potential theory and quantum field theory.

Book Information
ISBN 9780521443906
Author H. M. Fried
Format Hardback
Page Count 182
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 429g
Dimensions(mm) 229mm * 152mm * 14mm