Green's Functions and Ordered Exponentials

H.M. Fried

170 pages, parution le 22/08/2005

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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.

Describes Green's functions, the basis for the modern description of interactions, and their applications
Contains new solutions to problems involving particle production in crossed laser fields and non-constant electric fields
A valuable reference text for graduate students and researchers working on causal interactions

Sommaire

Preface
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

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	H.M. Fried
Parution	22/08/2005
Nb. de pages	170
Format	15 x 23
Couverture	Broché
Poids	295g
Intérieur	Noir et Blanc
EAN13	9780521448628
ISBN13	978-0-521-44862-8