The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory
The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory
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量子场论中计算单尺度过程的任意大矩的方法
DOI：
10.1016/j.physletb.2017.05.001
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Carsten Schneider
中科院分区：
文献类型：
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作者：
J. Blümlein;Carsten Schneider
我们设计了一种新的方法来计算单标量的大量的Mellin矩，这些微分方程组和/或差分方程组是由对物理量的回路修正的相应的Feynman积分之间的分部积分恒等式得到的。这些标量具有比完全量简单得多的数学结构。一个足够大的矩集合甚至可能允许对所考虑的全量进行解析重建，在一阶分解系统的情况下成立。在任何情况下，人们都可以使用这种完全解析的方法来获得通常高精度的数值表示。
We devise a new method to calculate a large number of Mellin moments of single scale quantities using the systems of differential and/or difference equations obtained by integration-by-parts identities between the corresponding Feynman integrals of loop corrections to physical quantities. These scalar quantities have a much simpler mathematical structure than the complete quantity. A sufficiently large set of moments may even allow the analytic reconstruction of the whole quantity considered, holding in case of first order factorizing systems. In any case, one may derive highly precise numerical representations in general using this method, which is otherwise completely analytic.