Infrared Gluon Propagator from lattice QCD: results from large asymmetric lattices

Abstract

The infrared limit of the lattice Landau gauge gluon propagator is studied. We show that the lattice data is compatible with the pure power law $(q^2{)}^{2\kappa }$ solution of the Dyson-Schwinger equations. Using various lattice volumes, the infinite volume limit for the exponent $\kappa$ is measured. Although, the results allow $\kappa =0.498-0.525$, the lattice data favours $\kappa \sim 0.52$, which would imply a vanishing zero momentum gluon propagator.

Final version to appear in Phys Rev D

References in corpus (5)

• A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
• Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
• Renormalization flow of Yang-Mills propagators
• Gribov copies, Lattice QCD and the gluon propagator
• The Infrared Landau Gauge Gluon Propagator from Lattice QCD

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