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익명(whose3143) 2025-02-17 19:22 추천 0

MZV(multiple zeta value)

Polylograithm

Hopf algebra

Motive

Scattering amplitude

http://javier.fresan.perso.math.cnrs.fr/mzv.pdf

https://arxiv.org/abs/1411.7538

Mathematical aspects of scattering amplitudesIn these lectures we discuss some of the mathematical structures that appear when computing multi-loop Feynman integrals. We focus on a specific class of special functions, the so-called multiple polylogarithms, and discuss introduce their Hopf algebra structure. We show how these mathematical concepts are useful in physics by illustrating on several examples how these algebraic structures are useful to perform analytic computations of loop integrals, in particular to derive functional equations among polylogarithms.arxiv.org

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