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

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 Schrödinger 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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Cite this paper

@inproceedings{Guagnelli2004TheCL, title={The continuum limit of the quark mass step scaling function in quenched lattice QCD}, author={M. Guagnelli and J . Heitger and F. Palombi and Clara Pe{\~n}a and Anastassios Vladikas}, year={2004} }