# First Lattice Study of Ghost Propagators in SU(2) and SU(3) Gauge Theories

## TL;DR

This study numerically investigates ghost propagators in SU(2) and SU(3) gauge theories using lattice simulations, finding minimal finite size effects and no dipole behavior at low momenta.

## Contribution

It provides the first lattice analysis of ghost propagators in SU(2) and SU(3) gauge theories at specified couplings, with detailed finite size effect assessment.

## Key findings

- Small finite size effects observed.
- No evidence of dipole behavior in ghost propagators.
- Results consistent across different lattice sizes.

## Abstract

We present a numerical study of the ghost propagators in Landau gauge for SU(2) and SU(3) gauge theories at $\beta$=2.7 and $\beta$=6.0, respectively. Analyzing different lattice sizes up to $32^4$, we find small finite size effects. Down to the smallest available momenta, we observe no evidence for dipole behaviour of the ghost propagators.