Green's Functions and Ordered Exponentials

H.M. Fried

180 pages, parution le 12/11/2002

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Résumé

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.

Contents

Introduction
Elementary functional methods
Schwinger-Fradkin methods
Lasers and crossed lasers
Special variants of the Fradkin representation
Quantum chaos and vectorial interactions
Infrared approximations
Models of high-energy, non-Abelian scattering
Unitary ordered exponentials

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	H.M. Fried
Parution	12/11/2002
Nb. de pages	180
Format	15,5 x 23,5
Couverture	Relié
Poids	428g
Intérieur	Noir et Blanc
EAN13	9780521443906
ISBN13	978-0-521-44390-6