東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Feynman integrals = a comprehensive ...

Weinzierl, Stefan.

Linked to FindBook

Google Book

Amazon

博客來

Feynman integrals = a comprehensive treatment for students and researchers /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Feynman integrals/ by Stefan Weinzierl.
Reminder of title:	a comprehensive treatment for students and researchers /
Author:	Weinzierl, Stefan.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xiv, 857 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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
Subject:	Feynman integrals. -
Online resource:	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

Feynman integrals = a comprehensive treatment for students and researchers /
LDR:02694nmm a2200349 a 4500 001 2302203
003 DE-He213
005 20220612023001.0
006 m d
007 cr nn 008maaau
008 230409s2022 sz s 0 eng d
020 $a 9783030995584 $q (electronic bk.)
020 $a 9783030995577 $q (paper)
024 7 $a 10.1007/978-3-030-99558-4 $2 doi
035 $a 978-3-030-99558-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.17.F45 $b W45 2022
072 7 $a PHP $2 bicssc
072 7 $a SCI051000 $2 bisacsh
072 7 $a PHP $2 thema
082 0 4 $a 515.43 $2 23
090 $a QC174.17.F45 $b W424 2022
100 1 $a Weinzierl, Stefan. $3 3602338
245 1 0 $a Feynman integrals $h [electronic resource] : $b a comprehensive treatment for students and researchers / $c by Stefan Weinzierl.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xiv, 857 p. : $b ill. (some col.), digital ; $c 24 cm.
338 $a online resource $b cr $2 rdacarrier
490 1 $a UNITEXT for physics, $x 2198-7890
505 0 $a 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.
520 $a 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.
650 0 $a Feynman integrals. $3 661786
650 1 4 $a Elementary Particles, Quantum Field Theory. $3 894026
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Algebraic Geometry. $3 893861
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a UNITEXT for physics. $3 2068732
856 4 0 $u https://doi.org/10.1007/978-3-030-99558-4
950 $a Physics and Astronomy (SpringerNature-11651)