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On the $N_f$-dependence of gluonic observables · Around

2013

On the $N_f$-dependence of gluonic observables

Bruno, Mattia, Sommer, Rainer

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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 $t_0/r_0^2$.

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M. Lüscher, Topology of Lattice Gauge Fields
1982
Earlier work this paper cites.
R. Sommer, A new way to set the energy scale in lattice gauge theories and its applications to the static force and α s \alpha_{s} in SU(2) Yang-Mills theory
1994
Earlier work this paper cites.
M. Lüscher, S. Sint, R. Sommer, and P. Weisz, Chiral symmetry and O( a a ) improvement in lattice QCD
1996
Earlier work this paper cites.
S. Sint and R. Sommer, The Running coupling from the QCD Schrodinger functional: A One loop analysis
1996
Earlier work this paper cites.
L. Giusti, M. Lüscher, P. Weisz, and H. Wittig, Lattice QCD in the epsilon regime and random matrix theory
2003
Earlier work this paper cites.
L. Del Debbio, L. Giusti, and C. Pica, Topological susceptibility in the SU(3) gauge theory
2005
Earlier work this paper cites.

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