In quantum field theories, spectral densities are directly related to relevant physical observables. In Lattice QCD, their non-perturbative extraction from first principles requires the Inverse Laplace transform of Euclidean-time correlation functions, a notorious ill-posed problem. Here we review our recent proposal [1, 2] for a new strategy to perform this inversion both in the continuum and on the lattice, also suitable for smeared spectral densities, both in the continuum and in the discrete cases.
Saccardi, M., Bruno, M., Giusti, L. (2025). Spectral densities from Euclidean-time lattice correlation functions. Intervento presentato a: 41st International Symposium on Lattice Field Theory-LATTICE - JUL 28-AUG 03, 2024, Liverpool, ENGLAND [10.22323/1.466.0320].
Spectral densities from Euclidean-time lattice correlation functions
Saccardi, Matteo
;Bruno, Mattia;Giusti, Leonardo
2025
Abstract
In quantum field theories, spectral densities are directly related to relevant physical observables. In Lattice QCD, their non-perturbative extraction from first principles requires the Inverse Laplace transform of Euclidean-time correlation functions, a notorious ill-posed problem. Here we review our recent proposal [1, 2] for a new strategy to perform this inversion both in the continuum and on the lattice, also suitable for smeared spectral densities, both in the continuum and in the discrete cases.
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