AG Lie-Gruppen: Vinzenco Morinelli, FAU

Jun 22
22-06-2021 14:15 Uhr bis 15:45 Uhr

Scaling limit of lattice QFT

Vortragender: Vinzenzo Morinelli, FAU Erlangen-Nürnberg
Veranstalter: Karl-Hermann Neeb

We present a rigorous renormalization group scheme for lattice quantum field theories in terms of operator algebras.
The renormalization group is considered as an inductive system of scaling maps between lattice field algebras.
We construct scaling maps for scalar lattice fields using Daubechies’ wavelets, and show that the projective limit of free lattice
ground states exists. We show that we fully recover the continuum massive field in the scaling limit.

Joint work with G. Morsella, A. Stottmeister, Y. Tanimoto, and

Friedrich-Alexander-Universität Erlangen-Nürnberg