Lattice hadron matrix elements with the Schroedinger functional: the case of the first moment of non-singlet quark density

Details Lattice hadron matrix elements with the Schroedinger functional: the case of the first moment of non-singlet quark density Lattice hadron matrix elements with the Schroedinger functional: the case of the first moment of non-singlet quark density

2000-09-07

arxiv.org/abs/hep-lat/0009006v1

Phys.Lett. B493 (2000) 77-81

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 10 pages, 5 figures

Scientific paper

10.1016/S0370-2693(00)01138-2

We present the results of a non-perturbative determination of the pion matrix element of the twist-2 operator corresponding to the average momentum of non-singlet quark densities. The calculation is made within the Schroedinger functional scheme. We report the results of simulations done with the standard Wilson action and with the non-perturbatively improved clover action and we show that their ratio correctly extrapolates, in the continuum limit, to a value compatible with the residual correction factor expected from perturbation theory.

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