Stefan Weinzierl: Feynman Integrals

Cover: 9783030995607 | Feynman Integrals | Stefan Weinzierl | Taschenbuch | Paperback | xiv

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

Covers the exciting development in the field of Feynman integrals of the last 15 years

Offers a pedagogical style: Students at the beginning of their master degree should be able to follow the book

Includes many exercises with solutions

Inhaltsverzeichnis

Introduction.- Basics.- Graph polynomials.- Quantum ¿eld theory.- One-loop integrals.- Iterated integrals.- Transformations of differential equations.- Multiple polylogarithms.- Nested sums.- Sector decomposition.- Hopf algebras, coactions and symbols.- Cluster algebras.- Elliptic curves.- Motives and mixed Hodge structures.- Numerics.- Final project.

Details

Erscheinungsjahr:	2023
Fachbereich:	Theoretische Physik
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	UNITEXT for Physics
Inhalt:	xiv 857 S. 110 s/w Illustr. 32 farbige Illustr. 857 p. 142 illus. 32 illus. in color.
ISBN-13:	9783030995607
ISBN-10:	3030995607
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Weinzierl, Stefan
Auflage:	1st ed. 2022
Hersteller:	Springer Nature Switzerland Springer International Publishing Springer International Publishing AG UNITEXT for Physics
Maße:	235 x 155 x 47 mm
Von/Mit:	Stefan Weinzierl
Erscheinungsdatum:	12.06.2023
Gewicht:	1,293 kg

Artikel-ID: 126937527