Fast Fermion Smearing Scheme with Gaussian-like Profile

TL;DR

This paper introduces a new smearing scheme with a Gaussian-like profile that is more computationally efficient than traditional methods, significantly reducing time costs in lattice calculations.

Contribution

A novel smearing scheme with Gaussian-like profile that enhances efficiency and effectiveness in lattice QCD computations.

Findings

The new smearing scheme is less than 1/8 the time cost of traditional Gaussian smearing for moderate sizes.

The scheme maintains effective smearing effects with sufficient gauge paths.

Efficiency gains increase with larger smearing sizes or finer lattice spacings.

Abstract

We propose a novel smearing scheme which gives a Gaussian-like profile and is more efficient than the traditional Gaussian smearing in terms of computer time consumption. We also carry out a detailed analysis of the profiles, smearing sizes, and the behaviors of hadron effective masses of different smearing schemes, and point out that having a sufficient number of gauge paths in a smearing scheme is essential to produce strong smearing effects. For a moderate smearing size $\bar{r}\sim 10a$, the time cost for the novel smearing is less than $1/8$ of that for the traditional Gaussian smearing. In practical lattice calculations with larger smearing sizes or finer lattice spacings the improvement will be more substantial.