偶维的图形函数

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2021-05-11 DOI:10.4310/CNTP.2022.v16.n3.a3

M. Borinsky, O. Schnetz

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引用次数: 17

摘要

。图形函数是一种特殊的位置空间费曼积分，可用于计算高环阶的费曼周期和一、二尺度过程。利用图形函数，计算了重整化常数在四维φ 4理论中的七阶和八阶，在六维φ 3理论中的五阶。在这篇文章中，我们提出了≥4偶维图函数的理论，并详细回顾了已知的性质和尽可能完整的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Graphical functions in even dimensions

. Graphical functions are special position space Feynman integrals, which can be used to calculate Feynman periods and one- or two-scale processes at high loop orders. With graphical functions, renormalization constants have been calculated to loop orders seven and eight in four-dimensional φ 4 theory and to order ﬁve in six-dimensional φ 3 theory. In this article we present the theory of graphical functions in even dimensions ≥ 4 with detailed reviews of known properties and full proofs whenever possible.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.