费曼积分之间的二次关系

Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018) Pub Date : 2018-10-02 DOI:10.22323/1.303.0053

D. Broadhurst

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引用次数: 17

摘要

费曼积分有两种形式:多对数积分和非多对数积分。它们以两种方式使用:作为对振幅平方的贡献，或作为对可观察矩阵元素的贡献。在前一种情况下，有积分的乘积，在后一种情况下没有。我们报道了与电子磁矩有关的非多对数费曼积分的积，给出了这些积分在所有环路上的无限组二次关系的细节。

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Quadratic relations between Feynman integrals

Feynman integrals come in two varieties: polylogarithmic, or not. They are used in two ways: as contributions to an amplitude that is squared, or as contributions to an observable matrix element. In the former case, products of integrals occur, in the latter they do not. We report on products of non-polylogarithmic Feynman integrals related to the magnetic moment of the electron, giving details of an infinite set of quadratic relations between these integrals at all loops $L>2$.

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Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)

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