Pietro Dona

Numerical methods for spin foam theories

Calculations of spin foam transition amplitudes are very complicated and challenging. In collaboration with CPT Ph.D. students (Giorgio Sarno and Francesco Gozzini), we pioneered numerical calculations in the developing sl2cfoam and sl2cfoam-next (available in this repository). This open-source library evaluates spin foam transition amplitudes using high-performance computing. It is modular (can be used to compute any transition amplitude), scalable (can run on a laptop or a cluster), and user-friendly (a minimal amount of additional code is required, and we provide an interface for the Julia scripting language).

Publications:

Summing bulk quantum numbers with Monte Carlo in spin foam theories
Jan 2023
Pietro Dona, and Pietropaolo Frisoni
Spinfoams and high performance computing
Dec 2022
Pietro Dona, Muxin Han, and Hongguang Liu
Radiative corrections to the Lorentzian Engle-Pereira-Rovelli-Livine spin foam propagator
Jun 2022
Pietro Dona, Pietropaolo Frisoni, and Edward Wilson-Ewing
How-To Compute EPRL Spin Foam Amplitudes
Feb 2022
Pietro Dona, and Pietropaolo Frisoni
Numerical analysis of spin foam dynamics and the flatness problem
Apr 2020
Pietro Dona, Francesco Gozzini, and Giorgio Sarno
Searching for classical geometries in spin foam amplitudes: a numerical method
Sep 2019
Pietro Dona, Francesco Gozzini, and Giorgio Sarno
Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory
Jul 2018
Pietro Dona, and Giorgio Sarno
Infrared divergences in the EPRL-FK Spin Foam model
Mar 2018
Pietro Dona