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Feynman Integral Calculus
 
 
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Feynman Integral Calculus [Hardcover]

Vladimir A. Smirnov (Author)

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Book Description

3540306102 978-3540306108 September 14, 2006 1
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. The book characterizes the most powerful methods and illustrates them with numerous examples starting from very simple ones and progressing to nontrivial examples. The book demonstrates how to choose adequate methods and combine evaluation methods in a non-trivial way. The most powerful methods are characterized and then illustrated through numerous examples. This is an updated textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author.

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Editorial Reviews

Review

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)

From the Back Cover

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.

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Inside This Book (learn more)
First Sentence:
The important mathematical problem of evaluating Feynman integrals arises quite naturally in elementary-particle physics when one treats various quantities in the framework of perturbation theory. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
alpha representation, master integrals, quark static potential, tabulated formulae, massless lines, irreducible numerators, basic parametric representation, kinematical invariants, sector decompositions, sunset diagram, collinear divergences, corresponding coefficient function, minus residue, analytic regularization, closing the integration contour, parametric integrals, loop momenta, nested sums, basic polynomial, shifted contour, external momenta, propagator diagrams, triple box, massless propagator, alpha parameters
Key Phrases - Capitalized Phrases (CAPs): (learn more)
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