Geometrical splitting and reduction of Feynman diagrams

17th International Workshop on Advanced Computing and Analysis Techniques in Physics Research

物理学;计算机科学

Davydychev, Andrei I^1,2

Schlumberger, HFE, 110 Schlumberger Drive, Sugar Land

TX

77478, United States^1

Institute for Nuclear Physics, Moscow State University, Moscow

119992, Russia^2

关键词: Feynman diagrams;    Feynman integrals;    Geometrical approaches;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/762/1/012068/pdf
DOI  :  10.1088/1742-6596/762/1/012068

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

A geometrical approach to the calculation of N-point Feynman diagrams is reviewed. It is shown that the geometrical splitting yields useful connections between Feynman integrals with different momenta and masses. It is demonstrated how these results can be used to reduce the number of variables in the occurring functions.