Infrared Gluon and Ghost Propagator Exponents From Lattice QCD

Abstract

The compatibility of the pure power law infrared solution of QCD and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon propagator, the lattice data is well described by a pure power law with an infrared exponent $\kappa \sim 0.53$, in the Dyson-Schwinger notation. $\kappa$ is measured using a technique that suppresses finite volume effects. This value implies a vanishing zero momentum gluon propagator, in agreement with the Gribov-Zwanziger confinement scenario. For the ghost propagator, the lattice data seem not to follow a pure power law, at least for the range of momenta accessed in our simulation.

Substantial rewriting with new material included. The new version includes a new and more deep discussion of the finite volume and asymmetry effects

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Cited by in corpus (7)

• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• SU(2) meets SU(3) in lattice-Landau-gauge gluon and ghost propagators
• Infrared exponents of gluon and ghost propagators from Lattice QCD
• The Landau gauge gluon propagator at zero and finite temperature: accounting for the combined finite lattice spacing and finite volume effects
• Lower dimensional Yang-Mills theory as a laboratory to study the infrared regime