Green's Functions and Ordered Exponentials

By H.M. Fried

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 052144862X
• ISBN13: 9780521448628
• Release Date: August 2005
• Publisher: Cambridge University Press
• Length: 184 Pages
• Weight: 0.61 lbs.
• Dimensions: 0.4" x 6.0" x 9.0"