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

M. Guagnelli·J. Heitger·F. Palombi·C. Pena·A. Vladikas
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Abstract

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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M. Guagnelli, J. Heitger, F. Palombi, C. Pena, A. Vladikas. 2004-03-18. The continuum limit of the quark mass step scaling function in quenched lattice QCD. https://doi.org/10.1088/1126-6708%2F2004%2F05%2F001

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