Approaching the Inverse Problem: Toward Lattice QCD Calculations of Inclusive Hadronic Quantities

TL;DR

This paper discusses recent methods for solving the inverse spectral problem in lattice QCD, focusing on a new approach that rigorously bounds uncertainties in calculations of inclusive hadronic quantities using complex analysis techniques.

Contribution

Introduces a novel method for uncertainty bounding in spectral reconstruction problems in lattice QCD using complex analysis.

Findings

New uncertainty bounding technique demonstrated

Improved spectral reconstruction accuracy

Enhanced physical understanding of inclusive hadronic quantities

Abstract

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 quantities, and provide some physical context for this work. Particular emphasis is given to a new method for rigorously bounding uncertainties using techniques from complex analysis.