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

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arxiv hep-lat/0009006 v1 pith:DVVODH4K submitted 2000-09-07 hep-lat

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

classification hep-lat
keywords actionfunctionalmatrixnon-singletquarkresultsschroedingeraverage
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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