The Gluon Propagator without lattice Gribov copies
C. Alexandrou (University of Cyprus, Paul Scherrer Institute), Ph., de Forcrand (ETH Zurich, CERN), E. Follana (University of Cyprus)
TL;DR
This paper investigates the gluon propagator in lattice QCD using a gauge free of lattice Gribov copies, providing new insights into its behavior and comparing it with other approaches.
Contribution
It introduces the Laplacian gauge for lattice QCD, avoiding Gribov copies, and compares the gluon propagator results with Landau gauge and Dyson-Schwinger solutions.
Findings
Finite zero-momentum propagator value of ~ (445 MeV)^{-2}
Pole mass estimate of ~ 640 ± 140 MeV
Comparison with Landau gauge and Dyson-Schwinger results
Abstract
We study the gluon propagator in quenched lattice QCD using the Laplacian gauge which is free of lattice Gribov copies. We compare our results with those obtained in the Landau gauge on the lattice, as well as with various approximate solutions of the Dyson Schwinger equations. We find a finite value for the renormalized zero-momentum propagator (taking our renormalization point at 1.943 GeV), and a pole mass MeV.
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