Seminario

A microlocal approach to the stochastic nonlinear Dirac equation

Seminario del Dipartimento di Matematica
9 novembre 2023
Orario di inizio 
16:30
Polo Ferrari 1 - Via Sommarive 5, Povo (Trento)
Aula A216 (Povo 1) e via Zoom (contattare dept.math@unitn.it per le credenziali)
Organizzato da: 
Dipartimento di Matematica
Destinatari: 
Comunità universitaria
Comunità studentesca UniTrento
Partecipazione: 
Ingresso libero
Referente: 
Dott. Nicolò Drago
Contatti: 
Staff Dipartimento di Matematica
0461/281508-1625-1701-3898-1980
Speaker: 
Beatrice Costeri (Università di Pavia)

Abstract

We present a novel framework for the study of a wide class of nonlinear Fermionic stochastic partial differential equations of Dirac type, which is inspired by the functional approach to the λ Φ3 model. The main merit is that, by realizing random spinor fields within a suitable algebra of functional-valued Dirac distributions, we are able to use specific techniques proper of microlocal analysis. These allow us to deal with renormalization using an Epstein-Glaser perspective, hence without resorting to any specific regularization scheme. As a concrete example we shall use this method to discuss the stochastic Thirring model in two Euclidean dimensions and we shall comment on its applicability to a larger class of Fermionic SPDEs. Based on joint works with A. Bonicelli, C. Dappiaggi and P. Rinaldi -- ArXiv: 2309.16376.