Evaluating Feynman Integrals

• Main Author: Smirnov, Vladimir A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
• Series: Springer Tracts in Modern Physics, 211
• Subjects: Physics.; Quantum physics.; Nuclear physics.; Particle and Nuclear Physics.; Quantum Physics.; Theoretical, Mathematical and Computational Physics.; Mathematical Methods in Physics.

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...

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.