Hypercubic Smeared Links for Dynamical Fermions

TL;DR

This paper introduces a differentiable hypercubic gauge link smearing method using normalization instead of projection, suitable for dynamical fermion simulations, and demonstrates its efficiency in reducing ultraviolet noise.

Contribution

It proposes a new normalized hypercubic smearing technique that is differentiable and effective for dynamical fermion simulations, improving upon existing methods.

Findings

Normalized smearing is as effective as projected smearing in noise reduction.

The method is tested successfully in Wilson and overlap fermion simulations.

It enables efficient molecular dynamics-based dynamical fermion simulations.

Abstract

We investigate a variant of hypercubic gauge link smearing where the SU(3) projection is replaced with a normalization to the corresponding unitary group. This smearing is differentiable and thus suitable for use in dynamical fermion simulations using molecular dynamics type algorithms. We show that this smearing is as efficient as projected hypercubic smearing in removing ultraviolet noise from the gauge fields. We test the normalized hypercubic smearing in dynamical improved (clover) Wilson and valence overlap simulations.