Estimating $$\chi _\mathrm {top}$$ χtop lattice artifacts from flowed SU(2) calorons

• Main Authors: P. Thomas Jahn, Guy. D. Moore, Daniel Robaina
• Format: Article
• Language: English
• Published: SpringerOpen 2019-06-01
• Series: European Physical Journal C: Particles and Fields
• Online Access: http://link.springer.com/article/10.1140/epjc/s10052-019-7008-9

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 $$\chi _\mathrm {top}$$ 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 $$N_\tau = 6$$ Nτ=6 is definitely too small of a time extent to study the theory at temperatures of order $$4~T_\mathrm {c}$$ 4Tc and we explore how the amount of gradient flow influences the continuum extrapolation.