Evaluating Feynman Integrals

Häftad, Engelska, 2010

Av Vladimir A. Smirnov

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The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory. Although a great variety of methods for evaluating Feynman integrals has been developed over a span of more than fifty years, this book is a first attempt to summarize them. Evaluating Feynman Integrals characterizes the most powerful methods, in particular those used for recent, quite sophisticated calculations, and then illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples.

Produktinformation

Utgivningsdatum2010-11-22
Mått155 x 235 x 15 mm
Vikt400 g
FormatHäftad
SpråkEngelska
SerieSpringer Tracts in Modern Physics
Antal sidor250
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642062971

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Matematisk fysik inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik
Kvantfysik inom Naturvetenskap och teknik

Introduction.- Feynman Integrals: Basic Definitions and Tools.- Evaluating by Alpha and Feynman Parameters.- Evaluating by Mellin-Barnes Representation.- IBP and Reduction to Master Integrals.- Reduction to Master Integrals by Baikov's method.- Evaluation by Differential Equations.- Appendix A. Tables.- Appendix B. Some Special Functions.- Appendix C. Summation Formulae.- Appendix D. Table of MB Integrals.- Appendix E. Analysis of Convergence and Sector Decompositions.- Appendix F. A Brief Review of Some Other Methods.

From the reviews: "The methods of analytically evaluating Feyman integrals are described in detail. The book is a first attempt to systematically expose variety of methods developed during fifty years ... . It will be useful for students of last years, postgraduate students and theoretical physicists specializing in quantum field theory." (Michael B. Mensky, Zentralblatt MATH, Vol. 1098 (24), 2006)