(Lattice) Propagators and Extraction of Spectral Densities

TL;DR

This paper introduces a Tikhonov regularization method for extracting spectral densities from discrete propagator data, demonstrated on lattice glueball and mock gluon datasets.

Contribution

It presents an alternative inverse problem approach using Tikhonov regularization for spectral density extraction from propagator data.

Findings

Effective extraction of spectral densities demonstrated on lattice and mock data.

Tikhonov regularization provides a stable solution for inverse spectral problems.

Abstract

In this proceeding, we explain a few steps for an alternative extraction of the spectral density of a two-point function (propagator) based on a discrete set of data points. We present a so-called Tikhonov regularization of this particular inverse problem. We test it on 2 cases: lattice 0++} glueball data and mock gluon data.