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Titlebook: Applied Asymptotic Expansions in Momenta and Masses; Vladimir A. Smirnov Book 2002 Springer-Verlag Berlin Heidelberg 2002 Feynman diagrams

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期刊全称Applied Asymptotic Expansions in Momenta and Masses
影响因子2023Vladimir A. Smirnov
视频video
发行地址Includes supplementary material:
学科分类Springer Tracts in Modern Physics
图书封面Titlebook: Applied Asymptotic Expansions in Momenta and Masses;  Vladimir A. Smirnov Book 2002 Springer-Verlag Berlin Heidelberg 2002 Feynman diagrams
影响因子‘The sturgeon they sent was second grade fresh,‘ said the barman. ‘Really, what nonsense/‘ ‘Why nonsense?‘ ‘"Second grade fresh" that‘s what I call nonsense/ There‘s only one degree of freshness the first, and it‘s 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 var
Pindex Book 2002
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0081-3869 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 var978-3-642-07612-1978-3-540-44574-6Series ISSN 0081-3869 Series E-ISSN 1615-0430
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Analysis of Natural Gas Value Chainsnt, and the other two external legs correspond to the external quarks. If we are interested in the total cross-section for the production of the quarks the problem reduces to the evaluation of the imaginary part of diagrams contributing to the vacuum polarization and containing only two external ver
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Analysis of Natural Gas Value Chainsntary-particle physics. In this book, it is explained how this problem is solved. To characterize, briefly, the main steps of the solution let us consider, for example, the process of . . . . annihilation, where an incoming electron and positron produce, according to the quantum-theoretical descript
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Susanna Horn,Angelina Korsunovaed. Special attention is paid to various divergences of Feynman integrals because their interplay is a characteristic feature of explicit prescriptions for asymptotic expansions in momenta and masses. A brief review of methods for analytic evaluation of Feynman integrals is presented. In addition to
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Trends in EU Energy Policy 1995–2007 off-shell large-momentum limit, i.e. when all the large momenta are large in the Euclidean sense and there are no large masses. We have already seen an example of a one-loop diagram in this limit in Chap. 3. After investigating two more one-loop examples in Sect. 4.1 we formulate, in Sect. 4.2, gen
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Studies in Human Ecology and Adaptationmomentum expansion, so that we apply the method of expansion by subgraphs again here. We start with a one-loop example and then formulate general prescriptions. These prescriptions are given by the same formula (4.34) as for the off-shell large-momentum limit, with a suitable change of the class of
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