On the $N_f$-dependence of gluonic observables

Mattia Bruno; Rainer Sommer

On the $N_f$-dependence of gluonic observables

High Energy Physics - Lattice 2014-04-18 v3

Authors: Mattia Bruno , Rainer Sommer

Abstract

We compute $t_0$ , $w_0$ and the topological susceptibility, defined at finite gradient flow time for two-flavour QCD. The use of three lattice spacings and pion masses between 192 and 500 MeV together with a careful error analysis allow to approach the continuum limit of the two-flavour theory despite significant auto-correlations. A comparison to $N_f=0$ results shows the size of sea quark effects in $t_0^2\chi$ , with $\chi$ the topological susceptibility, and low energy observables such as $t_0/w_0^2$ and $t_0/r_0^2$ .

Keywords

lattice QCD gradient flow topological susceptibility sea quark effects continuum limit gluonic observables two-flavour theory

Cite

@article{arxiv.1311.5585,
  title  = {On the $N_f$-dependence of gluonic observables},
  author = {Mattia Bruno and Rainer Sommer},
  journal= {arXiv preprint arXiv:1311.5585},
  year   = {2014}
}

Comments

Corrected comparison of auto-correlations between open and periodic BC; Fixed in-text definition of topological charge, caption of Figure 1 expanded; 7 pages, talk presented at the 31st International Symposium on Lattice Field Theory - Lattice 2013, Mainz, Germany

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