Estimating χtop lattice artifacts from flowed SU(2) calorons

P. Thomas Jahn, Guy D. Moore, and Daniel Robaina
The European Physical Journal C   Published 2019

Abstract

Lattice computations of the high-temperature topological susceptibility of QCD receive lattice-spacing corrections and suffer from systematics arising from the type and depth of gradient flow. We study the lattice spacing corrections to χtop semi-analytically by exploring the behavior of discretized Harrington–Shepard calorons under the action of different forms of gradient flow. From our study we conclude that Nτ=6 is definitely too small of a time extent to study the theory at temperatures of order 4Tc and we explore how the amount of gradient flow influences the continuum extrapolation.