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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory 2019 ed. [Kõva köide]

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  • Formaat: Hardback, 509 pages, kõrgus x laius: 235x155 mm, kaal: 945 g, 54 Illustrations, color; 80 Illustrations, black and white; XIII, 509 p. 134 illus., 54 illus. in color., 1 Hardback
  • Sari: Texts & Monographs in Symbolic Computation
  • Ilmumisaeg: 15-Feb-2019
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 3030044793
  • ISBN-13: 9783030044794
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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory 2019 ed.Suurem pilt
  • Formaat: Hardback, 509 pages, kõrgus x laius: 235x155 mm, kaal: 945 g, 54 Illustrations, color; 80 Illustrations, black and white; XIII, 509 p. 134 illus., 54 illus. in color., 1 Hardback
  • Sari: Texts & Monographs in Symbolic Computation
  • Ilmumisaeg: 15-Feb-2019
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 3030044793
  • ISBN-13: 9783030044794
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783030044794.html

This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations. 

Arvustused

The book is explicitly concerned with the mathematics of modular forms [ as it is] of central importance for the analytic solution of Feynman diagrams, but modular formers should be equally interested in the material offered in this compendium. (Michael Berg, MAA Reviews, May 19, 2019)

Eta Quotients and Rademacher Sums
1(28)
Kevin Acres
David Broadhurst
On a Class of Feynman Integrals Evaluating to Iterated Integrals of Modular Forms
29(22)
Luise Adams
Stefan Weinzierl
Iterative Non-iterative Integrals in Quantum Field Theory
51(28)
Johannes Bliimlein
Analytic Continuation of the Kite Family
79(14)
Christian Bogner
Armin Schweitzer
Stefan Weinzierl
A Four-Point Function for the Planar QCD Massive Corrections to Top-Antitop Production in the Gluon-Fusion Channel
93(14)
Roberto Bonciani
Matteo Capozi
Paul Caucal
From Modular Forms to Differential Equations for Feynman Integrals
107(26)
Johannes Broedel
Claude Duhr
Falko Dulat
Brenda Penante
Lorenzo Tancredi
One-Loop String Scattering Amplitudes as Iterated Eisenstein Integrals
133(28)
Johannes Broedel
Oliver Schlotterer
Expansions at Cusps and Petersson Products in Pari/GP
161(22)
Henri Cohen
CM Evaluations of the Goswami-Sun Series
183(12)
Madeline Locus Dawsey
Ken Ono
Automatic Proof of Theta-Function Identities
195(64)
Jie Frye
Frank Garvan
The Generators of all Polynomial Relations Among Jacobi Thcta Functions
259(10)
Ralf Hemmecke
Cristian-Silviu Radu
Liangjie Ye
Numerical Evaluation of Elliptic Functions, Elliptic Integrals and Modular Forms
269(26)
Fredrik Johansson
Multi-valued Feynman Graphs and Scattering Theory
295(32)
Dirk Kreimer
Interpolated Sequences and Critical L- Values of Modular Forms
327(24)
Robert Osburn
Armin Straub
Towards a Symbolic Summation Theory for Unspecified Sequences
351(40)
Peter Paule
Carsten Schneider
Differential Equations and Dispersion Relations for Feynman Amplitudes
391(24)
Ettore Remiddi
Feynman Integrals, Toric Geometry and Mirror Symmetry
415(44)
Pierre Vanhove
Modular and Holomorphic Graph Functions from Superstring Amplitudes
459(26)
Federico Zerbini
Some Algebraic and Arithmetic Properties of Feynman Diagrams
485
Yajun Zhou