| Feynman Integral Calculus 2006 Edition Contributor(s): Smirnov, Vladimir A. (Author) |
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ISBN: 3540306102 ISBN-13: 9783540306108 Publisher: Springer OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: August 2006 Annotation: 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 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 This book characterizes methods of evaluation of Feynman integrals in a systematic way. It concentrates on the methods that have been employed recently for most sophisticated calculations. 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. The most powerful methods of calculation of Feynman integrals are characterized and then illustrated through numerous examples, starting from very simple ones and culminating in rather nontrivial examples. 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. |
| Additional Information |
| BISAC Categories: - Science | Physics - Nuclear - Mathematics | Mathematical Analysis - Science | Physics - Quantum Theory |
| Dewey: 515.43 |
| LCCN: 2006927416 |
| Physical Information: 0.7" H x 6.3" W x 9.4" (1.23 lbs) 287 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This is a textbook version of my previous book [190]. 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. 1 ThegoalofthebookistodescribeindetailhowFeynmanintegrals canbe evaluatedanalytically.TheproblemofevaluatingLorentz-covariantFeynman integrals over loop momenta originated in the early days of perturbative quantum ?eld theory. Over a span of more than ?fty years, a great variety of methodsforevaluatingFeynmanintegralshasbeendeveloped.Mostpowerful modern methods are described in this book. Iunderstandthatifanotherperson-inparticularoneactivelyinvolvedin developing methods for Feynman integral evaluation - wrote a book on this subject, he or she would probably concentrate on some other methods and would rank the methods as most important and less important in a di?erent order. I believe, however, that my choice is reasonable. At least I have tried to concentrate on the methods that have been used recently in the most sophisticated calculations, in which world records in the Feynman integral 'sport' were achieved. |