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Feynman integrals = a comprehensive ...

Weinzierl, Stefan.

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Feynman integrals = a comprehensive treatment for students and researchers /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Feynman integrals/ by Stefan Weinzierl.
其他題名:	a comprehensive treatment for students and researchers /
作者:	Weinzierl, Stefan.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xiv, 857 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Feynman integrals. -
電子資源:	https://doi.org/10.1007/978-3-030-99558-4
ISBN:	9783030995584

Feynman integrals = a comprehensive treatment for students and researchers /
Weinzierl, Stefan.

Feynman integralsa comprehensive treatment for students and researchers /[electronic resource] :by Stefan Weinzierl. - Cham :Springer International Publishing :2022. - xiv, 857 p. :ill. (some col.), digital ;24 cm. - UNITEXT for physics,2198-7890. - UNITEXT for physics..

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.

ISBN: 9783030995584

Standard No.: 10.1007/978-3-030-99558-4doiSubjects--Topical Terms:

661786
Feynman integrals.

LC Class. No.: QC174.17.F45 / W45 2022

Dewey Class. No.: 515.43

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