A new lattice gauge action without scaling artifacts

TL;DR

This paper introduces a novel lattice gauge action that removes scaling artifacts by reformulating the continuum formalism with gauge links and the SLAC derivative, maintaining computational efficiency through stochastic implementation.

Contribution

The paper presents a new gauge action construction that eliminates scaling artifacts and demonstrates how to implement it efficiently using stochastic operators.

Findings

Elimination of scaling artifacts in lattice gauge theories.

Implementation of the action as a stochastic operator maintains computational performance.

Compatibility with existing lattice QCD codes like MILC.

Abstract

I describe a new way of constructing a gauge action that eliminates scaling artifacts, by writing the continuum formalism in terms of "gauge links" (Schwinger line integrals) and using the optimal SLAC representation of the lattice derivative. Computational performance can be maintained by implementing the action as a "stochastic" operator, as has been recently implemented in the MILC code for the optimal D-slash operator and the antialiasing filter.