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020 _a9783030802196
024 7 _a10.1007/978-3-030-80219-6
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQC174.17 .F45
_b2021 EB
245 0 0 _aAnti-Differentiation and the Calculation of Feynman Amplitudes
_cedited by Johannes Blümlein, Carsten Schneider.
250 _aFirst edition 2021
264 1 _aCham
_bSpringer International Publising
_c2021
300 _a1 recurso en línea (XIII, 545 páginas)
_b79 ilustraciones, 31 ilustraciones a color
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _aarchivo de texto
_bPDF
490 0 _aTexts & Monographs in Symbolic Computation A Series of the Research Institute for Symbolic Computation Johannes Kepler University Linz Austria
_x2197-8409
490 0 _aComputer Science (SpringerNature-11645)
490 0 _aComputer Science (R0) (SpringerNature-43710)
505 0 _aGraph 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.
520 3 _aThis 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.
988 _aSpringer_Computer_2021
650 7 _2embne
_9405170
_aMecánica cuántica
700 1 _aBlümlein, Johannes
_eeditor literario
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSchneider, Carsten
_eeditor literario
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
776 0 8 _iPrinted edition
_z9783030802189
776 0 8 _iPrinted edition
_z9783030802202
776 0 8 _iPrinted edition
_z9783030802219
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-80219-6
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b02/2022
_dz
_eh
_zSI