Are locality and renormalisation reconcilable?

Sylvie Paycha, University of Potsdam, on leave from the University Clermont-Auvergne

According to the principle of locality in physics, events taking place at different locations should behave independently, a feature expected to be reflected in the measurements. The latter are compared with theoretic predictions which use renormalisation techniques in order to deal with divergences from which one wants to derive finite quantities.

The purpose of this talk is to confront locality and renormalisation.

We shall present a multivariate approach to renormalisation which encodes locality as an underlying algebraic principle. It can be applied to various situations involving renormalisation, such as divergent multizeta functions and their generalisations, namely discrete sums on cones and discrete sums associated with trees.

This talk is based on joint work with P. Clavier, L. Guo and B. Zhang