Cutoff effects of the gradient flow for fermions

TL;DR

This paper investigates how the gradient flow impacts cutoff effects in Wilson-type fermions and demonstrates that appropriate adjustments in the Symanzik effective theory can lead to O(a) improvement of the action.

Contribution

It introduces a method to achieve O(a) improvement by modifying initial conditions in the gradient flow for Wilson fermions.

Findings

Proper choice of higher dimensional fields reduces cutoff effects.

O(a) improvement is achievable through initial condition adjustments.

The approach enhances the accuracy of lattice fermion simulations.

Abstract

I analyze cutoff effects of the gradient flow for Wilson-type fermions. I show that with a proper choice of the higher dimensional fields in the Symanzik effective theory, O($a$) improvement of the action is achieved changing the initial conditions of the gradient flow equation.