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Communication Dans Un Congrès Année : 2024

Bayesian interpretation of Backus-Gilbert methods

Luigi del Debbio
  • Fonction : Auteur
Marco Panero
  • Fonction : Auteur
Nazario Tantalo
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-04344236 , version 1 (14-12-2023)

Identifiants

Citer

Luigi del Debbio, Alessandro Lupo, Marco Panero, Nazario Tantalo. Bayesian interpretation of Backus-Gilbert methods. 40th International Symposium on Lattice Field Theory, Jul 2023, Batavia, United States. pp.004, ⟨10.22323/1.453.0004⟩. ⟨hal-04344236⟩
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