# Towards the continuum limit with improved Wilson fermions employing open   boundary conditions

**Authors:** Gunnar S. Bali, Sara Collins, Fabian Hutzler, Meinulf G\"ockeler,, Andreas Sch\"afer, Enno E. Scholz, Jakob Simeth, Wolfgang S\"oldner, Andr\'e, Sternbeck, Thomas Wurm (RQCD Collaboration)

arXiv: 1702.01035 · 2017-02-06

## TL;DR

This paper reports on lattice QCD simulations with improved Wilson fermions and open boundary conditions across multiple lattice spacings, enabling controlled continuum extrapolations of key hadronic observables.

## Contribution

It introduces a set of simulations at five lattice spacings with open boundary conditions, achieving near-physical quark masses and enabling precise continuum limit extrapolations.

## Key findings

- Accurate meson and baryon mass calculations
- Nucleon axial charge estimates
- Successful continuum extrapolations

## Abstract

We present selected results obtained by RQCD from simulations of $N_f=2+1$ flavours of non-perturbatively $\mathcal{O}(a)$ improved Wilson fermions, employing open boundary conditions in time. The ensembles were created within the CLS (Coordinated Lattice Simulations) effort at five different values of the lattice spacing, ranging from 0.085fm down to below 0.04fm. Many quark mass combinations were realized, in particular along lines where the sum of the bare quark masses was kept fixed as well as trajectories of an approximately physical renormalized strange quark mass. Several key observables, including meson and baryon masses and the axial charge of the nucleon have been computed, and preliminary results are presented here. In some cases an accurate and controlled extrapolation to the continuum limit has become possible.

## Full text

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## Figures

21 figures with captions in the complete paper: https://tomesphere.com/paper/1702.01035/full.md

## References

22 references — full list in the complete paper: https://tomesphere.com/paper/1702.01035/full.md

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Source: https://tomesphere.com/paper/1702.01035