Bayesian interpretation of Backus-Gilbert methods
High Energy Physics - Lattice
2023-12-01 v1
Abstract
The extraction of spectral densities from Euclidean correlators evaluated on the lattice is an important problem, as these quantities encode physical information on scattering amplitudes, finite-volume spectra, inclusive decay rates, and transport coefficients. In this contribution, we show that the Bayesian approach to this "inverse" problem, based on Gaussian processes, can be reformulated in a way that yields a solution equivalent, up to statistical uncertainties, to the one obtained in a Backus-Gilbert approach. After discussing this equivalence, we point out its implications for a reliable determination of spectral densities from lattice simulations.
Cite
@article{arxiv.2311.18125,
title = {Bayesian interpretation of Backus-Gilbert methods},
author = {Luigi Del Debbio and Alessandro Lupo and Marco Panero and Nazario Tantalo},
journal= {arXiv preprint arXiv:2311.18125},
year = {2023}
}
Comments
Contribution to Lattice23