Feynman Integral Calculus

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Bibliografische Daten
ISBN/EAN: 9783642067891
Sprache: Englisch
Umfang: x, 287 S., 52 s/w Illustr., 287 p. 52 illus.
Auflage: 1. Auflage 2006
Einband: kartoniertes Buch

Beschreibung

InhaltsangabeFeynman Integrals: Basic Definitions and Tools.- Evaluating by Alpha and Feynman Parameters.- Evaluating by MB Representation.- IBP and Reduction to Master Integrals.- Reduction to Master Integrals by Baikov's Method.- Evaluation by Differential Equations.- Tables.- Some Special Functions.- Summation Formulae.- Table of MB Integrals.- Analysis of Convergence and Sector Decompositions.- A Brief Review of Some Other Methods.- Applying Gröbner Bases to Solve IBP Relations.- Solutions.

Inhalt

Introduction.- Feynman Integrals: Basic Definitions and Tools.- Evaluating by Alpha and Feynman Parameters.- Evaluating by MB Representation.- IBP and Reduction to Master Integrals.- Reduction to Master Integrals by Baikov''s Method.- Evaluating 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.- Appendix G: Applying Gröbner Bases to Solve IBP Relations.- Solutions.

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