Finite size effects of a pion matrix element
M. Guagnelli, K. Jansen, F. Palombi, R. Petronzio, A. Shindler, I. Wetzorke
Abstract
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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