Determining Feynman Integrals with Only Input from Linear Algebra,Physical Review Letters

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Determining Feynman Integrals with Only Input from Linear Algebra
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-11-23 , DOI: 10.1103/physrevlett.129.222001
Zhi-Feng Liu ₁ , Yan-Qing Ma _{1,

2}

Affiliation

We find that all Feynman integrals (FIs), having any number of loops, can be completely determined once linear relations between FIs are provided. Therefore, FI computation is conceptually changed to a linear algebraic problem. Examples up to five loops are given to verify this observation. As a by-product, we obtain a powerful method to calculate perturbative corrections in quantum field theory.

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