Feynman Integrals A Comprehensive Treatment for Students and Researchers

By: Weinzierl,StefanLanguage: English Series: Unitext for physicsPublication details: Switzerland Springer 2022Description: xiv,856 pISBN: 9783030995577 (HB)Subject(s): Feynman integrals | Feynman integrals | Feynman-Graph | Physics
Contents:
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
Summary: 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
Item type: BOOKS List(s) this item appears in: New Arrivals (03 March 2023)
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Current library Home library Call number Materials specified Status Date due Barcode
IMSc Library
IMSc Library
530.145 WEI (Browse shelf (Opens below)) Available 76594

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

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

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India

Powered by Koha