New results on cut-off effects in spectroscopy with the fixed point action

TL;DR

This paper investigates cut-off effects in quenched light hadron spectroscopy and pion scattering length using the fixed point action, showing small but noticeable effects at finer lattice spacings and aligning with previous extrapolated results.

Contribution

The study extends previous analyses by providing new results at a finer lattice spacing, demonstrating the persistence of small cut-off effects with the fixed point action.

Findings

Cut-off effects are small but observable at a=0.102 fm.

Results are consistent with CP-PACS extrapolated data.

Finer lattice resolution improves the accuracy of spectroscopy results.

Abstract

Our study on the cut-off effects in quenched light hadron spectroscopy and pion scattering length with the fixed point action is extended by results obtained at a lattice spacing a=0.102 fm in a box of size L=1.8 fm. The cut-off effects are small, but clearly seen as the resolution is increased from a=0.153 fm to a=0.102 fm. In the quark mass region where the errors are small and under control, our results on the APE plot lie close to the extrapolated numbers of the CP-PACS Collaboration.