Feynman Integral Calculus
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Beschreibung
The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory.
The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. `Feynman Integral Calculus' characterizes the most powerful methods in a systematic way. It concentrates on the methods that have been employed recently for most sophisticated calculations and illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples. It also shows how to choose adequate methods and combine them in a non-trivial way.
This is a textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author. Problems and solutions have been included, Appendix G has been added, more details have been presented, recent publications on evaluating Feynman integrals have been taken into account and the bibliography has been updated.
The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. This is a textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author. Problems and solutions have been included, Appendix G has been added, more details have been presented, recent publications on evaluating Feynman integrals have been taken into account and the bibliography has been updated. The book characterizes the most powerful methods and illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples. Feynman Integral Calculus explains how the problem of evaluation has become ever more important since what could be easily evaluated has already been evaluated years ago. It demonstrates and explains how to perform the newest important calculations, while showing how to choose adequate methods and combine evaluation methods in a non-trivial way.
Problems and separate solutions Comprehensive review of all tools to calculate and interprete Feynman Integrals
Autor*in
Vladimir A. Smirnov
Themen in »Feynman Integral Calculus«
Alpha and Feynman parameters Baikov's Method Dimensional regularization Feynman integrals Master Integral Mellin-Barnes representation calculus differential equation
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From the reviews:
"The book is based on the courses of lectures given by the author in the two winter semesters of 2003-2004 and 2005-2006 at the University of Hamburg as a DFG Mercator professor in Hamburg as well as on the course given in 2003-2004 at the University of Karlsruhe. It will be useful for postgraduate students and theoretical physicists specializing in quantum field theory." (Michael B. Mensky, Zentralblatt MATH, Vol. 1111 (8), 2007)
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