Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-09-18
Physics
High Energy Physics
High Energy Physics - Lattice
Lattice2003(matrix), 3 pages, 4 figures
Scientific paper
10.1016/S0920-5632(03)02556-8
We report on recent results for the pion matrix element of the twist-2 operator corresponding to the average momentum of non-singlet quark densities. For the first time finite volume effects of this matrix element are investigated and come out to be surprisingly large. We use standard Wilson and non-perturbatively improved clover actions in order to control better the extrapolation to the continuum limit. Moreover, we compute, fully non-perturbatively, the renormalization group invariant matrix element, which allows a comparison with experimental results in a broad range of energy scales. Finally, we discuss the remaining uncertainties, the extrapolation to the chiral limit and the quenched approximation.
Guagnelli Marco
Jansen Karl
Palombi Filippo
Petronzio Roberto
Shindler Andrea
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