Infrared behavior of gluon and ghost propagators from asymmetric lattices

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.

6 pages, 6 figures and 3 tables; included some results on Gribov-copy effects; modified the introduction

References in corpus (8)

• Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• Positivity violation for the lattice Landau gluon propagator
• Numerical Study of the Ghost-Gluon Vertex in Landau gauge
• Gluons at finite temperature in Landau gauge Yang--Mills theory
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