Evaluating feynman integrals
Author(s)
Bibliographic Information
Evaluating feynman integrals
（Springer tracts in modern physics : Ergebnisse der exakten Naturwissenschaften / editor, G. Höhler, v. 211 . Elementary particle physics / editors,
Springer, c2004
Available at / 15 libraries
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The Institute for Solid State Physics Library. The University of Tokyo.図書室
420.8:S1:2117210230731
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:515.43/SM482080022100
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Note
Includes bibliographical references at the end of each chapter
Includes index
Description and Table of Contents
Description
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.
Table of Contents
Introduction.- Feynman Integrals: Basic Definitions and Tools.- Evaluating by Alpha and Feynman Parameters.- Evaluating by Mellin-Barnes Representation.- IBP and Reduction to Master Integrals.- Reduction to Master Integrals by Baikov's method.- Evaluation by Differential Equations.- Appendix A. Tables.- Appendix B. Some Special Functions.- Appendix C. Summation Formulae.- Appendix D. Table of MB Integrals.- Appendix E. Analysis of Convergence and Sector Decompositions.- Appendix F. A Brief Review of Some Other Methods.
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