Categoria:
Altro (categoria non censita)
Categoria non censita:
Operator Algebra Seminar in Tor Vergata
Data e ora inizio evento:
Data e ora fine evento:
Aula:
Altro (Aula esterna al Dipartimento)
Sede:
Dipartimento di Matematica, Università di Roma Tor Vergata
Aula esterna:
Aula Dal Passo
Speaker:
Edoardo D'Angelo (University of Milan)
Abstract: Renormalization group flows, based on functional Polchinski or Wetterich equations, are powerful tools that give access to non-perturbative aspects of strongly coupled QFTs and gravity. I will provide an overview of a new approach, developed to construct a rigorous renormalization group (RG) flow on Lorentzian manifolds. This approach, based on a local and covariant regularization of the Wetterich equation, highlights its state dependence. I give the main ideas of a proof of local existence of solutions for the RG equation, when a suitable Local Potential Approximation is considered. The proof is based on an application of the renown Nash-Moser theorem. I will also present recent applications of the locally covariant RG equation to the non-perturbative renormalizability of quantum gravity.
Note: This talk is part of the activity of the MUR Excellence Department Project MatMod@TOV (CUP E83C23000330006)
The Operator Algebra Seminar schedule is here: https://sites.google.com/view/oastorvergata/home-page