Light Quark Masses from Lattice Quark Propagators at Large Momenta

Details Light Quark Masses from Lattice Quark Propagators at Large Momenta Light Quark Masses from Lattice Quark Propagators at Large Momenta

1999-09-10

arxiv.org/abs/hep-lat/9909082v2

Phys.Rev. D61 (2000) 114507

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 2 references added, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.61.114507

We compute non-perturbatively the average up-down and strange quark masses from the large momentum (short-distance) behaviour of the quark propagator in the Landau gauge. This method, which has never been applied so far, does not require the explicit calculation of the quark mass renormalization constant. Calculations were performed in the quenched approximation, by using O(a)-improved Wilson fermions. The main results of this study are ml^RI(2GeV)=5.8(6)MeV and ms^RI(2GeV)=136(11)MeV. Using the relations between different schemes, obtained from the available four-loop anomalous dimensions, we also find ml^RGI=7.6(8)MeV and ms^RGI=177(14)MeV, and the MSbar-masses, ml^MS(2GeV)=4.8(5)MeV and ms^MS(2GeV)=111(9)MeV.

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