SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition

TL;DR

This paper compares SU(3) Landau gauge gluon and ghost propagators using a logarithmic lattice field definition with higher-loop NSPT data, showing consistent multiplicative relations and minimal artifacts.

Contribution

It introduces a logarithmic lattice gluon field definition for consistent comparison with NSPT and demonstrates its effectiveness in lattice gauge theory studies.

Findings

Propagators are multiplicatively related across definitions.

Ghost-gluon coupling data matches closely with NSPT results.

Discretization, finite-size, and Gribov effects are small.

Abstract

We study the Landau gauge gluon and ghost propagators of SU(3) gauge theory, employing the logarithmic definition for the lattice gluon fields and implementing the corresponding form of the Faddeev-Popov matrix. This is necessary in order to consistently compare lattice data for the bare propagators with that of higher-loop numerical stochastic perturbation theory (NSPT). In this paper we provide such a comparison, and introduce what is needed for an efficient lattice study. When comparing our data for the logarithmic definition to that of the standard lattice Landau gauge we clearly see the propagators to be multiplicatively related. The data of the associated ghost-gluon coupling matches up almost completely. For the explored lattice spacings and sizes discretization artifacts, finite-size and Gribov-copy effects are small. At weak coupling and large momentum, the bare propagators and the ghost-gluon coupling are seen to be approached by those of higher-order NSPT.