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hep-lat2026
Spectral densities from Euclidean correlators via integral transforms: theoretical framework
Leonardo Giusti, Matteo Saccardi, Diego Toniolo
Spectral densities link experimental measurements to dynamical properties of a quantum field theory which, in turn, can be resolved non-perturbatively from the Euclidean time-depen…
hep-lat2026
Kernel transformations and bounds for smeared spectral functions
William I. Jay, Matteo Saccardi
This work develops a framework for transforming between smeared spectral functions computed using different smearing kernels. The kernel-transformation problem naturally arises whe…
hep-lat2026
The Causal Bootstrap: Bounding Smeared Spectral Functions from Non-Perturbative Euclidean Data
Ryan Abbott, Sarah Fields, William I. Jay +2
This work introduces the causal bootstrap, a framework for bounding smeared spectral observables from finite non-perturbative Euclidean data. The method optimizes over the convex s…