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arxiv: 1007.0338 · v2 · submitted 2010-07-02 · ✦ hep-th · math-ph· math.AG· math.MP

Feynman amplitudes and Landau singularities for 1-loop graphs

classification ✦ hep-th math-phmath.AGmath.MP
keywords amplitudesfeynmanexternalfunctionsgraphshodgeinvestigatelandau
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We use mixed Hodge structures to investigate Feynman amplitudes as functions of external momenta and masses.

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  1. Motivic Galois theory for one-loop Feynman integrals in momentum space

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    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 mot...