de Soto, Feliciano2025-01-292025-01-292022de Soto, F. (2022). Restoring rotational invariance for lattice QCD propagators. The Journal of High Energy Physics, 2022(10), 69–24https://doi.org/10.1007/JHEP10(2022)069https://hdl.handle.net/10433/22786This 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 givenapplication/pdfenAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Algorithms and Theoretical DevelopmentsCorrelation FunctionsLattice QCDLattice Quantum Field Theoryjournal articleopen access