3 papers
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…
hep-lat2026
Moment Problems and Spectral Functions
Ryan Abbott, William Jay, Patrick Oare
Nevanlinna-Pick interpolation and moment problems use the analytic structures provided by causality in order to provide rigorous bounds on smeared spectral functions. This proceedi…
hep-lat2025
Moment problems and bounds for matrix-valued smeared spectral functions
Ryan Abbott, William I. Jay, Patrick R. Oare
Numerical analytic continuation arises frequently in lattice field theory, particularly in spectroscopy problems. This work shows the equivalence of common spectroscopic problems t…