Estimating $\chi_\mathrm{top}$ Lattice Artifacts from Flowed SU(2) Calorons

Autor: Jahn, Peter Thomas, Moore, Guy D., Robaina, Daniel
Rok vydání: 2018
Předmět:
Zdroj: Eur. Phys. J. C (2019) 79:510
Druh dokumentu: Working Paper
DOI: 10.1140/epjc/s10052-019-7008-9
Popis: 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.
Comment: 10 pages, 8 figures (published version)
Databáze: arXiv