On the zero-crossing of the three-gluon Green's function from lattice simulations

TL;DR

This paper investigates the infrared properties of the three-gluon Green's function using large-volume lattice simulations, revealing a zero-crossing at deep IR momenta explained by Dyson-Schwinger equations.

Contribution

It provides the first lattice evidence of a zero-crossing in the three-gluon Green's function at low momenta, supported by Dyson-Schwinger analysis.

Findings

Existence of a negative logarithmic divergence at zero-momentum

Zero-crossing of the three-gluon form factors at deep IR momenta

Results consistent across different lattice actions

Abstract

We report on some efforts recently made in order to gain a better understanding of some IR properties of the 3-point gluon Green's function by exploiting results from large-volume quenched lattice simulations. These lattice results have been obtained by using both tree-level Symanzik and the standard Wilson action, in the aim of assessing the possible impact of effects presumably resulting from a particular choice for the discretization of the action. The main resulting feature is the existence of a negative logaritmic divergence at zero-momentum, which pulls the 3-gluon form factors down at low momenta and, consequently, yields a zero-crossing at a given deep IR momentum. The results can be correctly explained by analyzing the relevant Dyson-Schwinger equations and appropriate truncation schemes.