Geometrical splitting and reduction of Feynman diagrams

[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.

[发布机构] Schlumberger, HFE, 110 Schlumberger Drive, Sugar Land; TX; 77478, United States^1;Institute for Nuclear Physics, Moscow State University, Moscow; 119992, Russia^2

[效力级别] 计算机科学 [学科分类] 计算机科学（综合）

[关键词] Feynman diagrams;Feynman integrals;Geometrical approaches