The lattice scale at large beta in quenched QCD

Details The lattice scale at large beta in quenched QCD The lattice scale at large beta in quenched QCD

2002-09-12

arxiv.org/abs/hep-lat/0209112v1

Phys.Lett. B548 (2002) 58-62

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 1 figure

Scientific paper

10.1016/S0370-2693(02)02819-8

In this paper we extend the estimate of the value of the lattice spacing a in units of the r0 scale at values of the bare coupling larger than those available. By using results from the computation of the renormalised coupling in the Schroedinger functional formalism we find that from beta \simeq 7 onward the behaviour predicted by asymptotic freedom at tree loop describes very well the data if a value of (r0 Lambda) slightly lower then the latest available is used. We also show that, by sticking to the current value, an effective four loop term can describe as well the data. The systematic relative error on the lattice spacing induced by the choice of the procedure is between 1% and 3% for 6.92 < beta < 8.5.

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