Overview

The book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest. The problem of expansion is systematically solved by formulating universal prescriptions that express terms of the expansion using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. Knowledge of the structure of the asymptotic expansion at the diagrammatic level is key in understanding how to perform expansions at the operator level. Most typical examples of these expansions are presented: the operator product expansion, the large-mass expansion, Heavy Quark Effective Theory, and Non-Relativistic QCD.

Full Product Details

Author:   Vladimir A. Smirnov
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2002
Volume:   177
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783642076121

ISBN 10:   3642076122
Pages:   265
Publication Date:   04 December 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Feynman Integrals: a Brief Review.- Why, Where and How to Expand.- Off-Shell Large-Momentum Expansion.- Large-Mass Expansion.- Threshold Expansion. One Heavy Mass in the Threshold.- Threshold Expansion. Two Masses in the Threshold.- Sudakov Limits.- Conclusion.- Tables.- Technical Details: Convergence and Asymptotic Behaviour.

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