Feynman Integrals by Stefan Weinzierl

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Feynman Integrals by Stefan Weinzierl

Summary

Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals.

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Feynman Integrals by Stefan Weinzierl

This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed. The book covers modern developments in the field of Feynman integrals. Topics included are:  representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the master's level in physics or mathematics,  b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling.
“This book provides a detailed and up-to-date introduction to Feynman integrals …The book is written in a very didactic way. … the book gives an excellent introduction to the field of Feynman integrals at the level of a master's/starting Ph.D. student … . The structure of the book and the fact that it contains many exercises make it a very useful resource for a course on this topic.” (Samuel Abreu, Mathematical Reviews, December, 2023)
Stefan Weinzierl is Professor for theoretical high energy physics at Johannes Gutenberg Universität Mainz, Germany. His research interests include precision calculations in particle physics, multiple polylogarithms and elliptic generalizations, gravity and gauge theories as well as jet physics and top quark physics.
SKU Unavailable
ISBN 13 9783030995577
ISBN 10 3030995577
Title Feynman Integrals
Author Stefan Weinzierl
Series Unitext For Physics
Condition Unavailable
Publisher Springer Nature Switzerland AG
Year published 2022-06-12
Number of pages 857
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable