# A simple model for a scalar two-point correlator in the presence of a resonance

## TL;DR

This paper introduces a simple toy model for a scalar two-point correlator to aid in extracting resonance parameters from Lattice QCD data, focusing on finite-volume effects and spectral reconstruction.

## Contribution

It provides a straightforward model and methodology for analyzing finite-volume lattice data to determine resonance properties in scalar correlators.

## Key findings

- Model accurately reproduces finite-volume effects
- Method enables spectral function reconstruction from lattice data
- Facilitates resonance parameter extraction in scalar channels

## Abstract

We present a simple toy model for a scalar-isoscalar two-point correlator, which can serve as a testing ground for the extraction of resonance parameters from Lattice QCD calculations. We discuss in detail how the model correlator behaves when it is restricted to a finite spatial volume, and how the finite-volume data can be used to reconstruct the spectral function of the correlator in the infinite volume, which allows to extract properties of the resonance from such data.