Infrared behavior of gluon and ghost propagators from asymmetric lattices

TL;DR

This study investigates the infrared behavior of gluon and ghost propagators in three-dimensional SU(2) gauge theory using asymmetric lattices, revealing systematic effects and differences compared to symmetric lattices.

Contribution

It provides a detailed numerical analysis of propagators on asymmetric lattices, highlighting systematic effects in the infrared region and comparing with symmetric lattice results.

Findings

Gluon propagator is suppressed at small momenta on large volumes.

Ghost propagator is enhanced at small momenta on large volumes.

Asymmetric lattices introduce systematic effects in infrared behavior.

Abstract

We present a numerical study of the lattice Landau gluon and ghost propagators in three-dimensional pure SU(2) gauge theory. Data have been obtained using asymmetric lattices (V = 20^2 X 40, 20^2 X 60, 8^2 X 64, 8^2 X 140, 12^2 X 140 and 16^2 X 140) for the lattice coupling beta = 3.4, in the scaling region. We find that the gluon (respectively ghost) propagator is suppressed (respec. enhanced) at small momenta in the limit of large lattice volume V. By comparing these results with data obtained using symmetric lattices (V = 60^3 and 140^3), we find that both propagators suffer from systematic effects in the infrared region (p \lesssim 650 MeV). In particular, the gluon (respec. ghost) propagator is less IR-suppressed (respec. enhanced) than in the symmetric case. We discuss possible implications of the use of asymmetric lattices.