Finite size effects of a pion matrix element

Details Finite size effects of a pion matrix element Finite size effects of a pion matrix element

2004-03-08

arxiv.org/abs/hep-lat/0403009v2

Phys.Lett. B597 (2004) 216-221

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 5 figures; v2: version accepted for publication in Physics Letters B, minor changes, references updated

Scientific paper

We investigate finite size effects of the pion matrix element of the non-singlet, twist-2 operator corresponding to the average momentum of non-singlet quark densities. Using the quenched approximation, they come out to be surprisingly large when compared to the finite size effects of the pion mass. As a consequence, simulations of corresponding nucleon matrix elements could be affected by finite size effects even stronger which could lead to serious systematic uncertainties in their evaluation.

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