4 papers
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…
Bayesian Analysis and Analytic Continuation of Scattering Amplitudes from Lattice QCD
Miguel Salg, Fernando Romero-López, William I. Jay
We present a novel procedure for analyzing the lattice-QCD spectrum via the finite-volume formalism to obtain constraints on multi-hadron scattering amplitudes at both real and com…
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…
Approaching the Inverse Problem: Toward Lattice QCD Calculations of Inclusive Hadronic Quantities
William Jay
In this talk, I describe some recent ideas relating to the spectral reconstruction inverse problem, which arises frequently in lattice QCD calculations of inclusive hadronic quanti…