AG Lie-Gruppen: Vinzenco Morinelli, FAU

Scaling limit of lattice QFT

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

Abstract:
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,
https://arxiv.org/abs/2010.11121 and https://arxiv.org/abs/2002.01442