Functional Forms for Lattice Correlators at Small Times

TL;DR

This paper derives functional forms for short-distance mesonic correlators using lattice quark propagator analytics, introduces continuum model ansatze, and compares these models to Monte Carlo data to understand lattice correlator behavior.

Contribution

It presents a novel analytic approach to model short-distance mesonic correlators and introduces continuum model ansatze incorporating ground and excited states.

Findings

Continuum model ansatze fit Monte Carlo data well.

Short-distance behavior is effectively captured by derived functional forms.

Ground state pole and excited state contributions are distinguishable in the models.

Abstract

The analytic form of the lattice quark propagator is used to derive the functional form for short distance mesonic correlators. These are then used to calculate ``Continuum Model'' Ansatze which comprise of a pole, representing the ground state, plus a contribution for the excited states, coming from the short distance behaviour. These are compared to Monte Carlo data.