# Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices

## TL;DR

This paper investigates the three-gluon vertex in SU(3) Yang-Mills theory using lattice simulations, revealing sign changes in form-factors and confirming consistency with Schwinger-Dyson equation predictions.

## Contribution

It provides a detailed lattice study of the three-gluon vertex, highlighting sign changes and validating Schwinger-Dyson models with high-precision data.

## Key findings

- Form-factor changes sign at specific momenta
- Good agreement with Schwinger-Dyson predictions
- Enhanced understanding of three-gluon vertex behavior

## Abstract

This article reports on the detailed study of the three-gluon vertex in four-dimensional $SU(3)$ Yang-Mills theory employing lattice simulations with large physical volumes and high statistics. A meticulous scrutiny of the so-called symmetric and asymmetric kinematical configurations is performed and it is shown that the associated form-factor changes sign at a given range of momenta. The lattice results are compared to the model independent predictions of Schwinger-Dyson equations and a very good agreement among the two is found.