Constructs motivic local systems for one-loop graphs in momentum space whose weight-graded pieces are Tate twists of quadratic Artin motives from maximally cut quotient graphs, along with a formula for the de Rham motivic Galois group action.
Rudenko,On the goncharov depth conjecture and a formula for volumes of orthoschemes, Journal of the American Mathematical Society36(2023) 1003 [2012.05599]
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The n-site chain graph contribution to the de Sitter cosmological wavefunction in conformally coupled φ³ theory is expressed explicitly in terms of Rudenko's quadrangular polylogarithms.
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Motivic Galois theory for one-loop Feynman integrals in momentum space
Constructs motivic local systems for one-loop graphs in momentum space whose weight-graded pieces are Tate twists of quadratic Artin motives from maximally cut quotient graphs, along with a formula for the de Rham motivic Galois group action.
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de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs
The n-site chain graph contribution to the de Sitter cosmological wavefunction in conformally coupled φ³ theory is expressed explicitly in terms of Rudenko's quadrangular polylogarithms.