TH String Theory Seminar

Periods, motives and quantum field theory: the physics and arithmetics of some Feynman graph in two dimensions [CANCELLED]

by Pierre Vanhove (CEA Saclay and IHES)

4-3-006 - TH Conference Room (CERN)

4-3-006 - TH Conference Room


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General arguments indicate that Feynman integrals can be thought as period integrals. This talk aims to make this relation concrete on a certain class of quantum field theory amplitudes in a two-dimensional space-time. We will show, on some precise examples, how a Feynman integral is given by a period of a variation of a mixed Hodge structure. We will discuss special cases which can be expressed in terms of elliptic multiple-polylogarithms. This is based on the work [arXiv:1309.5865] done in collaboration with Spencer Bloch, and in work in progress with Spencer Bloch and Matt Kerr.