3 papers
gr-qc2020
Numerical analysis of spin foam dynamics and the flatness problem
Pietro Dona, Francesco Gozzini, Giorgio Sarno
In this paper, we apply a recently proposed numerical algorithm for finding stationary phase points in spin foam amplitudes. We study a spin foam amplitude with three vertices and…
gr-qc2019
Numerical study of the Lorentzian Engle-Pereira-Rovelli-Livine spin foam amplitude
Pietro Dona, Marco Fanizza, Giorgio Sarno +1
The Lorentzian EPRL spin foam amplitude for loop quantum gravity is a multi-dimensional non-compact integral of highly oscillating functions. Using a method based on the decomposit…
gr-qc2018
Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory
Pietro Dona, Giorgio Sarno
The intricated combinatorial structure and the non-compactness of the Lorentz group have always made the computation of EPRL spin foam transition amplitudes a ve…