Mesons in non-local chiral quark models

TL;DR

This paper investigates vector meson correlators within non-local chiral quark models, deriving sum rules and confirming the validity of Weinberg sum rules in this framework, thus linking model predictions to experimental data.

Contribution

It introduces a non-local chiral quark model approach that satisfies Weinberg sum rules and provides a method to compare model predictions with experimental data.

Findings

Weinberg sum rules hold in the non-local model.

Derived sum rules based on dispersion relations.

Model predictions can be compared to experimental data.

Abstract

Vector meson correlators are studied in effective chiral quark models with both local and non-local regulators. A set of sum rules based on dispersion relations is derived, which allows for a comparison of model predictions to data. We show that the two Weinberg sum rules for vector correlators hold in the non-local model.