Restoring rotational invariance for lattice QCD propagators

Abstract

This note presents a method to reduce the discretization errors appearing when solving a Quantum Field Theory in a hypercubic lattice in both position and momentum-space. The method exploits the artifacts that break rotational symmetry to recover rotationally invariant results for two-point Green functions. We show that a combination of the results obtained in position and momentum space can be useful to signal the presence of rotationally invariant artifacts making use of their approximate Fourier transforms in the continuum. The method will be introduced using a Klein-Gordon propagator, and a direct application to gluon propagator in quenched lattice QCD will be given.

References in corpus (5)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• On the reduction of hypercubic lattice artifacts
• Ghost dynamics in the soft gluon limit
• Quark-gluon vertex from Nf=2 lattice QCD
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts

Cited by in corpus (1)

• Planar degeneracy of the three-gluon vertex