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.
Feynman amplitudes and Landau singularities for 1-loop graphs
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abstract
We use mixed Hodge structures to investigate Feynman amplitudes as functions of external momenta and masses.
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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.