# Michael Dütsch

Book(s): *From Classical Field Theory to Perturbative Quantum Field Theory*, 2018

ArXiv

ResearchGate

**On this website**: https://81018.com/transformation/#12f

First email: 5 August 2019

Reference: https://arxiv.org/abs/1012.5604

Connection between the renormalization groups of Stückelberg-Petermann and Wilson

Dear Prof. Dr. Michael Dütsch:

I have this hunch that the renormalization groups actually tell us

a little something special about the very nature of infinity.

Is that silliness at the outset?

Of course, I thank you for all your very substantial work, especially your work within ArXiv particularly the following which are now on my reading list:

Thank you.

Most sincerely,

Bruce

**Keywords**: Finite quantum field theory (FQFT), causal perturbation theory, *Scaling (geometry)*, perturbative quantum field theory, AQFT,

Main Theorem of Renormalization of Stora and Popineau

**Epstein-Glaser renormalization** (causal perturbation theory) appears to have no infinities. Renormalization (in $x$-space) amounts to the extension of a distribution which is defined outside the point $x=0$to a distribution which is defined everywhere. This extension is non-unique; the renormalization group describes this indefiniteness.