The continuum limit of the quark mass step scaling function in quenched lattice QCD

Details The continuum limit of the quark mass step scaling function in quenched lattice QCD The continuum limit of the quark mass step scaling function in quenched lattice QCD

2004-02-20

arxiv.org/abs/hep-lat/0402022v2

JHEP 0405 (2004) 001

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, 3 figures; minor changes, references added

Scientific paper

10.1088/1126-6708/2004/05/001

The renormalisation group running of the quark mass is determined non-perturbatively for a large range of scales, by computing the step scaling function in the Schroedinger Functional formalism of quenched lattice QCD both with and without O(a) improvement. A one-loop perturbative calculation of the discretisation effects has been carried out for both the Wilson and the Clover-improved actions and for a large number of lattice resolutions. The non-perturbative computation yields continuum results which are regularisation independent, thus providing convincing evidence for the uniqueness of the continuum limit. As a byproduct, the ratio of the renormalisation group invariant quark mass to the quark mass, renormalised at a hadronic scale, is obtained with very high accuracy.

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