Evaluating Feynman Integrals: 211 - Rilegato

Smirnov, V. A.

Rilegato

ISBN 10: 3540239332 ISBN 13: 9783540239338

Casa editrice: Springer Nature, 2004

Riassunto

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.

Su questo libro

Recensione:

From the reviews:

"The methods of analytically evaluating Feyman integrals are described in detail. The book is a first attempt to systematically expose variety of methods developed during fifty years ... . It will be useful for students of last years, postgraduate students and theoretical physicists specializing in quantum field theory." (Michael B. Mensky, Zentralblatt MATH, Vol. 1098 (24), 2006)

Contenuti:

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.

Su questa edizione

• Editore: Springer Nature
• Data di pubblicazione: 2004
• ISBN 10: 3540239332
• ISBN 13: 9783540239338
• Rilegatura: Copertina rigida
• Numero di pagine: 243