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 chi _mathrm {top} 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 N_tau = 6 is definitely too small of a time extent to study the theory at temperatures of order 4~T_mathrm {c} and we explore how the amount of gradient flow influences the continuum extrapolation.
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