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.