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Evaluating Feynman Integrals: Springer Tracts in Modern Physics, cartea 211

Autor Vladimir A. Smirnov
en Limba Engleză Hardback – 13 dec 2004
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.
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Specificații

ISBN-13: 9783540239338
ISBN-10: 3540239332
Pagini: 250
Ilustrații: X, 250 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.55 kg
Ediția:2004
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Tracts in Modern Physics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

Up-to-date review Includes supplementary material: sn.pub/extras