Evaluating Feynman Integrals

By: Smirnov, Vladimir ALanguage: English Series: Springer tracts in modern physics ; 211Publication details: Berlin Springer 2005Description: x, 250pISBN: 9783540239338 (HB)Subject(s): Feyman Integrals | Nuclear Physics | Quantum Theory | Physics
Contents:
1. Introduction 2. Feynman Integrals: Basic Definitions and Tools 3. Evaluating by Alpha and Feynman Parameters 4. Evaluating by Mellin-Barnes Representation 5. IBP and Reduction to Master Integrals 6. Reduction to Master Integrals by Baikov's method 7. Evaluation by Differential Equations
Summary: 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 Integral's 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
Item type: BOOKS
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1. Introduction
2. Feynman Integrals: Basic Definitions and Tools
3. Evaluating by Alpha and Feynman Parameters
4. Evaluating by Mellin-Barnes Representation
5. IBP and Reduction to Master Integrals
6. Reduction to Master Integrals by Baikov's method
7. Evaluation by Differential Equations

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 Integral's 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

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