Evaluating Feynman Integrals

• Κύριος συγγραφέας: Smirnov, Vladimir A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
• Σειρά: Springer Tracts in Modern Physics, 211
• Θέματα: 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 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. 

 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.