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This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews.
The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.
The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.
This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews.
The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.
The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.
Zusammenfassung
Presents up-to-date reviews on modular forms and functions and their use in particle physics
Combines knowledge from mathematical physics and mathematics
Written by international authors
Inhaltsverzeichnis
Graph complexes and Cutkosky rules.- Differential equations and dispersion relations for Feynman amplitudes with elliptic functions.- Elliptic integrals and the two-loop ttbar production in QCD.- Solutions of 2nd and 3rd order differential equations with more singularities.- Analytic continuation of Feynman diagrams with elliptic solutions.- Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes.- Genus one superstring amplitudes and modular forms.- Difference field methods in Feynman diagram calculations.- Feynman integrals and iterated integrals of modular forms.- Iterated elliptic and hypergeometric integrals for Feynman diagrams. - Feynman integrals, L-series and Kloosterman moments.
Details
| Erscheinungsjahr: | 2022 |
|---|---|
| Fachbereich: | Theoretische Physik |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Physik, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Texts & Monographs in Symbolic Computation |
| Inhalt: |
xiii
545 S. 48 s/w Illustr. 31 farbige Illustr. 545 p. 79 illus. 31 illus. in color. |
| ISBN-13: | 9783030802219 |
| ISBN-10: | 3030802213 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Redaktion: |
Blümlein, Johannes
Schneider, Carsten |
| Herausgeber: | Johannes Blümlein/Carsten Schneider |
| Hersteller: |
Springer
Texts & Monographs in Symbolic Computation |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 30 mm |
| Von/Mit: | Johannes Blümlein (u. a.) |
| Erscheinungsdatum: | 28.11.2022 |
| Gewicht: | 0,838 kg |
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