Finite volume effects in the gluon propagator

TL;DR

This study investigates how the size of the lattice affects the gluon propagator in quantum chromodynamics, focusing on its infrared behavior and volume dependence.

Contribution

It provides the first detailed analysis of finite volume effects on the gluon propagator, especially near zero momentum, using lattice simulations.

Findings

Gluon propagator shows a mild volume dependence.

Extrapolation to infinite volume remains inconclusive near zero momentum.

Data suggests measurable finite volume effects in the IR region.

Abstract

We report on a preliminary study of the volume dependence of the gluon propagator. The propagator is computed using different lattice volumes, its extrapolation to infinite volume is investigated with particular attention to the its IR behaviour. Our data shows a mild but measurable dependence with the volume. Unfortunately, we are not able yet to clarify its behaviour close to zero momentum.