69 citations · 267 across the 6 of their papers we have counts for
6 papers
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…
Searching for classical geometries in spin foam amplitudes: a numerical method
Pietro Dona, Francesco Gozzini, Giorgio Sarno
We develop a numerical method to investigate the semiclassical limit of spin foam amplitudes with many vertices. We test it using the Ponzano-Regge model, a spin foam model for thr…
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…
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…
2-vertex Lorentzian Spin Foam Amplitudes for Dipole Transitions
Giorgio Sarno, Simone Speziale, Gabriele V. Stagno
We compute transition amplitudes between two spin networks with dipole graphs, using the Lorentzian EPRL model with up to two (non-simplicial) vertices. We find power-law decreasin…
SU(2) graph invariants, Regge actions and polytopes
Pietro Donà, Marco Fanizza, Giorgio Sarno +1
We revisit the the large spin asymptotics of 15j symbols in terms of cosines of the 4d Euclidean Regge action, as derived by Barrett and collaborators using a saddle point approxim…