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Titlebook: Anti-Differentiation and the Calculation of Feynman Amplitudes; Johannes Blümlein,Carsten Schneider Book 2021 The Editor(s) (if applicable

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发表于 2025-3-21 19:13:53 | 显示全部楼层 |阅读模式
期刊全称Anti-Differentiation and the Calculation of Feynman Amplitudes
影响因子2023Johannes Blümlein,Carsten Schneider
视频video
发行地址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
学科分类Texts & Monographs in Symbolic Computation
图书封面Titlebook: Anti-Differentiation and the Calculation of Feynman Amplitudes; Johannes Blümlein,Carsten Schneider Book 2021 The Editor(s) (if applicable
影响因子.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..
Pindex Book 2021
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Top-Down Decomposition: A Cut-Based Approach to Integral Reductions,atical object known as the intersection number to define what amounts to an inner product between Feynman integrals, which can be used to project directly unto the basis of master integrals. In particular we will discuss one perspective to this intersection-based method, which we name the top-down a
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Hypergeometric Functions and Feynman Diagrams,ruction of the .-expansion. As an example, we present a detailed discussion of the construction of the .-expansion of the Appell function .. around rational values of parameters via an iterative solution of differential equations. As a by-product, we have found that the one-loop massless pentagon di
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Outer Space as a Combinatorial Backbone for Cutkosky Rules and Coactions,o boundary operations: shrinking edges or removing them. Only if the number of spanning trees of a graph . equals its number of internal edges we find that the graphical coaction .. constructed here agrees with the coaction .. proposed by Britto and collaborators. The graphs for which this is the ca
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