Evaluating Feynman Integrals
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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.
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.
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.
Up-to-date review Includes supplementary material: sn.pub/extras
Autor*in
Vladimir A. Smirnov
Themen in »Evaluating Feynman Integrals«
Alpha and Feynman parameters Dimensional regularization Feynman integrals Mellin-Barnes representation calculus differential equation
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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)
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