MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Dimensional Regularization in Position Space, and a Forest Formula for Epstein-Glaser Renormalization

Michael Dütsch, Klaus Fredenhagen, Kai Johannes Keller and Katarzyna Rejzner


We reformulate dimensional regularization as a regularization method in position space and show that it can be used to give a closed expression for the renormalized time-ordered products as solutions to the induction scheme of Epstein-Glaser. For scalar fields the resulting renormalization method is always applicable, we compute several examples. We also analyze the Hopf algebraic aspects of the combinatorics. Our starting point is the Main Theorem of Renormalization of Stora and Popineau and the arising renormalization group as originally defined by Stückelberg and Petermann.


Related publications

2014 Repository Open Access
Michael Dütsch, Klaus Fredenhagen, Kai Johannes Keller and Katarzyna Rejzner

Dimensional regularization in position space, and a forest formula for Epstein-Glaser renormalization

In: Journal of mathematical physics, 55 (2014) 12, p. 122303