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Feynman integral calculus

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 Cal...

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Autor principal: Smirnov, Vladimir A
Lenguaje:eng
Publicado: Springer 2006
Materias:
Acceso en línea:https://dx.doi.org/10.1007/3-540-30611-0
http://cds.cern.ch/record/1135348
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author Smirnov, Vladimir A
author_facet Smirnov, Vladimir A
author_sort Smirnov, Vladimir A
collection CERN
description 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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spelling cern-11353482021-04-22T01:44:16Zdoi:10.1007/3-540-30611-0http://cds.cern.ch/record/1135348engSmirnov, Vladimir AFeynman integral calculusMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:11353482006
spellingShingle Mathematical Physics and Mathematics
Smirnov, Vladimir A
Feynman integral calculus
title Feynman integral calculus
title_full Feynman integral calculus
title_fullStr Feynman integral calculus
title_full_unstemmed Feynman integral calculus
title_short Feynman integral calculus
title_sort feynman integral calculus
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/3-540-30611-0
http://cds.cern.ch/record/1135348
work_keys_str_mv AT smirnovvladimira feynmanintegralcalculus