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)

Tuesday, 21 January 2014 from to (Europe/Zurich)
at CERN ( 4-3-006 - TH Conference Room )
 Description 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.