Pietro Dona

Low-energy limit of spin foam theories

Spin foam theory defines a regularized, background-independent, covariant Lorentz path integral for quantum gravity on a discretization of 4D spacetime. The theory assigns transition amplitudes to the LQG states associated with the boundary of the triangulation, providing them with a dynamic. I study the theory's low energy regime and how general relativity emerges from it (or a discrete version of it).

Publications:

Geometry from local flatness in Lorentzian spin foam theories
Nov 2022
Pietro Dona
Wick rotation for spin foam quantum gravity
Jun 2021
Pietro Dona, Francesco Gozzini, and Alessandro Nicotra
Asymptotics of SL(2,C) coherent invariant tensors
Nov 2020
Pietro Dona, Marco Fanizza, Pierre Martin-Dussaud and Simone Speziale
Asymptotics of lowest unitary SL(2,C) invariants on graphs
Jul 2020
Pietro Dona, and Simone Speziale
Numerical study of the Lorentzian Engle-Pereira-Rovelli-Livine spin foam amplitude
Mar 2019
Pietro Dona, Marco Fanizza, Giorgio Sarno and Simone Speziale
SU(2) graph invariants, Regge actions and polytopes
Aug 2017
Pietro Dona, Marco Fanizza, Giorgio Sarno, and Simone Speziale