Locality and multivariable renormalisation

20.01.2017, 11:00  –  Haus 9, Raum 0.14
Arbeitsgruppenseminar Analysis

Pierre Clavier

We define sets with independence relations which are a generalisation of locality in physics. An example of such relation is given on the set of multivariable functions. A coproduct respecting the independence relations allows to define a multivariable renormalisation scheme. We show that the Birkhoff decomposition then simplifies, allowing to facilitate rationality proof.