English

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

High Energy Physics - Lattice 2019-06-19 v2

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\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 Nτ=6N_\tau = 6 is definitely too small of a time extent to study the theory at temperatures of order 4 Tc4~T_\mathrm{c} and we explore how the amount of gradient flow influences the continuum extrapolation.

Keywords

Cite

@article{arxiv.1805.11511,
  title  = {Estimating $\chi_\mathrm{top}$ Lattice Artifacts from Flowed SU(2) Calorons},
  author = {Peter Thomas Jahn and Guy D. Moore and Daniel Robaina},
  journal= {arXiv preprint arXiv:1805.11511},
  year   = {2019}
}

Comments

10 pages, 8 figures (published version)

R2 v1 2026-06-23T02:12:06.510Z