Feynman Integrals

A Comprehensive Treatment for Students and Researchers

AvStefan Weinzierl

Inbunden, Engelska, 2022

Del i serien UNITEXT for Physics

702 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2022-06-12
Mått:155 x 235 x 57 mm
Vikt:1 432 g
Format:Inbunden
Språk:Engelska
Serie:UNITEXT for Physics
Antal sidor:857
Förlag:Springer Nature Switzerland AG
ISBN:9783030995577

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

“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)

Innehållsförteckning

Introduction.- Basics.- Graph polynomials.- Quantum ﬁeld 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.