Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared

TL;DR

This study uses lattice gluodynamics to compute Landau-gauge Green's functions at very low momenta, employing advanced gauge fixing to improve accuracy, and finds results consistent with decoupling solutions from continuum approaches.

Contribution

It provides new lattice data for Landau-gauge propagators in the deep infrared using improved gauge fixing techniques.

Findings

Results are consistent with decoupling solutions.

Achieved momenta down to 75 MeV.

Used simulated annealing for gauge fixing.

Abstract

We present recent results for the Landau-gauge gluon and ghost propagators in SU(3) lattice gluodynamics obtained on a sequence of lattices with linear extension ranging from L=64 to L=96 at $\beta = 5.70$, thus reaching "deep infrared" momenta down to 75 MeV. Our gauge-fixing procedure essentially uses a simulated annealing technique which allows us to reach gauge-functional values closer to the global maxima than standard approaches do. Our results are consistent with the so-called decoupling solutions found for Dyson-Schwinger and functional renormalization group equations.