國立高雄大學圖資館 |

Language: English

Back

Feynman integralsa comprehensive treatment for students and researchers /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Feynman integralsby 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.
Contained By:	Springer Nature eBook
Subject:	Feynman integrals.
Online resource:	https://doi.org/10.1007/978-3-030-99558-4
ISBN:	9783030995584$q(electronic bk.)

Feynman integralsa 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$q(electronic bk.)

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

468973
Feynman integrals.

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

Dewey Class. No.: 515.43

Feynman integralsa comprehensive treatment for students and researchers /
LDR:02694nmm a2200349 a 4500 001 626040
003 DE-He213
005 20220612023001.0
006 m d
007 cr nn 008maaau
008 230109s2022 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 929742
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 468973
650 1 4 $a Elementary Particles, Quantum Field Theory. $3 274994
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Quantum Physics. $3 275010
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 376743
650 2 4 $a Algebraic Geometry. $3 274807
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a UNITEXT for physics. $3 681848
856 4 0 $u https://doi.org/10.1007/978-3-030-99558-4
950 $a Physics and Astronomy (SpringerNature-11651)