3 papers
math-ph2024
Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime
Luca Fresta, Marcello Porta, Benjamin Schlein
We give a rigorous derivation of the Hartree equation for the many-body dynamics of pseudo-relativistic Fermi systems at high density , on arbitrarily large domains,…
math-ph2020
Supersymmetric Cluster Expansions and Applications to Random Schrödinger Operators
Luca Fresta
We study discrete random Schrödinger operators via the supersymmetric formalism. We develop a cluster expansion that converges at both strong and weak disorder. We prove the expone…
math-ph2019
A supersymmetric hierarchical model for weakly disordered semimetals
Giovanni Antinucci, Luca Fresta, Marcello Porta
In this paper we study a hierarchical supersymmetric model for a class of gapless, three-dimensional, weakly disordered quantum systems, displaying pointlike Fermi surface and coni…