# Comparing Wilson and Clover Quenched $SU(3)$ Spectroscopy with an Improved Gauge Action

## TL;DR

This study compares quenched SU(3) hadron spectroscopy using improved Wilson (Clover) and standard Wilson fermions across various lattice spacings, revealing differences in scaling violations and implications for continuum extrapolation.

## Contribution

It provides a detailed comparison of fermionic scaling violations between Clover and Wilson fermions using an improved gauge action, highlighting the better scaling behavior of Clover fermions.

## Key findings

- Clover fermions show $ ext{O}(a^2)$ scaling violations.
- Wilson fermions exhibit mixed $ ext{O}(a)$ and $ ext{O}(a^2)$ violations.
- Scaling violation slopes are approximately 250 MeV for both methods.

## Abstract

We present results of quenched $SU(3)$ hadron spectroscopy comparing $\order(a)$ improved Wilson (Clover) fermions with conventional Wilson fermions. The configurations were generated using an $\order(a^2)$ improved 6-link $SU(3)$ pure gauge action at $\beta$'s corresponding to lattice spacings of $0.15$, $0.18$, $0.20$, $0.33$, and $0.43$ fm. We find evidence that fermionic scaling violations are consistent with $\order(a^2)$ for Clover and $\order(a)$ with a nonnegligible $\order(a^2)$ term for standard Wilson fermions. This latter mixed ansatz makes a reliable continuum extrapolation problematic for Wilson fermions. We also find that the slope of the scaling violations is roughly $250 MeV$ for both Wilson and Clover fermions.