Description: Applied Asymptotic Expansions in Momenta and Masses, Hardcover by Smirnov, V. A., ISBN 3540423346, ISBN-13 9783540423348, Like New Used, Free shipping in the US The sturgeon they sent was second grade fresh, said the barman. Really, what nonsense/ Why nonsense? "Second grade fresh" thats what I call nonsense/ Theres only one degree of freshness the first, and its the last) (M. A. Bulgakov, The Master and Margarita) The goal of this book is to describe in detail how Feynman integrals can be expanded in suitable parameters, when various momenta or masses are small or large. In a narrow sense, this problem is connected with practical calcula tions. In a situation where a given Feynman integral depends on parameters of very different scales, a natural idea is to replace it by a sufficiently large number of terms of an expansion of it in ratios of small and large scales. It will be explained how this problem of expansion can be systematically solved, by formulating universal prescriptions that express terms of the expansion by using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. It turns out that knowledge of the structure of the asymptotic expansion at the diagrammatic level is a key point in understanding how to perform expansions at the operator level. There are various examples of these ex pansions: the operator product expansion, the large mass expansion, Heavy Quark Effective Theory, Non Relativistic QCD, etc. Each of them serves as a realization of the factorization of contributions of different scales.
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Book Title: Applied Asymptotic Expansions in Momenta and Masses
Number of Pages: IX, 265 Pages
Language: English
Publication Name: Applied Asymptotic Expansions in Momenta and Masses
Publisher: Springer Berlin / Heidelberg
Subject: Physics / Quantum Theory, Numerical Analysis, Physics / Mathematical & Computational, Materials Science / Electronic Materials
Publication Year: 2001
Type: Textbook
Item Weight: 20.7 Oz
Subject Area: Mathematics, Technology & Engineering, Science
Author: V. A. Smirnov
Item Length: 9.3 in
Series: Springer Tracts in Modern Physics Ser.
Item Width: 6.1 in
Format: Hardcover
