The Light Hadron Mass Spectrum with Non-Perturbatively O(a) Improved Wilson Fermions

TL;DR

This study computes the light hadron mass spectrum in quenched lattice QCD using non-perturbatively improved Wilson fermions, analyzing the impact of different improvement coefficients on mass calculations.

Contribution

It evaluates the effects of non-perturbative $O(a)$ improvement on hadron masses and suggests an optimal $c_{SW}$ value around 1.4 for improved accuracy.

Findings

Masses vary up to 30% with $O(a)$ improvement.

Optimal $c_{SW}$ estimated at approximately 1.4.

Improvement significantly affects hadron mass spectrum calculations.

Abstract

We compute the light hadron mass spectrum in quenched lattice QCD at $\beta = 6.0$ using the Sheikholeslami-Wohlert fermionic action. The calculation is done for several choices of the coefficient $c_{SW}$, including $c_{SW} = 0$ and the recently proposed optimal value $c_{SW} = 1.769$. We find that the individual masses change by up to 30\% under $O(a)$ improvement. The spectrum calculation suggests $c_{SW} \approx 1.4$ for the optimal value of the coefficient.