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 ×60, 40 2 ×60, 8 2 × 64, 8 2 × 140, 12 2 × 140 and 16 2 × 140) for the lattice coupling β = 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 650MeV). 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.

Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature

“…This would probably reduce the systematic effects observed in [41], while keeping the numerical costs of the simulations small.…”

Gluelump spectrum from Coulomb gauge QCD

“…while at large momenta, ω(p) ∼ p. There are indications from lattice computations that ω(p) is different from zero as p → 0 but the lattice results cannot resolve between ω(p → 0) finite and ω(p → 0) → ∞ [31,32]. In our analysis we will thus study how the gluelump spectrum depends on the gluon gap function ω.…”

Phenomenology of infrared finite gluon propagator and coupling constant

“…During the last years there has been much effort in trying to obtain the infrared (IR) behavior of the Quantum Chromodynamics (QCD) Green's functions by means of theoretical and phenomenological studies [1][2][3][4][5][6][7][8][9][10][11] and by simulations of QCD on a lattice [12][13][14][15]. The infrared behavior of the gluon and ghost propagators, as well as of the coupling constant are completely intertwined with the confinement problem.…”