Excited State Effects in Nucleon Matrix Element Calculations

Details Excited State Effects in Nucleon Matrix Element Calculations Excited State Effects in Nucleon Matrix Element Calculations

2011-12-13

arxiv.org/abs/1112.2931v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 4 figures. Talk given at the XXIX International Symposium on Lattice Field Theory - Lattice 2011, Lake Tahoe, Califor

Scientific paper

We perform a high-statistics precision calculation of nucleon matrix elements using an open sink method allowing us to explore a wide range of sink-source time separations. In this way the influence of excited states of nucleon matrix elements can be studied. As particular examples we present results for the nucleon axial charge $g_A$ and for the first moment of the isovector unpolarized parton distribution $_{u-d}$. In addition, we report on preliminary results using the generalized eigenvalue method for nucleon matrix elements. All calculations are performed using $N_f=2+1+1$ maximally twisted mass Wilson fermions.

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