Deformations of QFTs and Connes-Marcolli's renormalization group in Epstein-Glaser scheme

Abstract

This short note aims to describe the deformations of QFTs and give an action of the same pro-algebraic group $U^*$ which appears in Connes-Marcolli's setting, on the finite QFTs constructed by Epstein-Glaser renormalization scheme.