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Structure of the Pion from Full Lattice QCD

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arxiv hep-lat/0509133 v1 pith:MQQCHQ2Q submitted 2005-09-26 hep-lat

D. Brömmel , M. Diehl , M. Göckeler , Ph. Hägler , R. Horsley , D. Pleiter , P.E.L. Rakow , A. Schäfer
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G. Schierholz J.M. Zanotti (QCDSF/UKQCD Collaboration)
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classification hep-lat
keywords pionlatticedatadistributionselementsfermionsgeneralisedmatrix
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Moments of generalised parton distributions can be related to off-forward matrix elements of local operators. We calculate a few of the leading twist matrix elements for the pion on the lattice. The simulations are performed using two flavours of dynamical fermions and a range of pion masses from 550 to 1090 MeV. Our lattice spacings and spatial volumes lie in the range 0.07-0.12 fm and (1.6-2.2 fm)^3, respectively. Key features of our investigation are the use of O(a) improved Wilson fermions and non-perturbative renormalisation. We present first results for the two lowest moments of the generalised parton distributions of the pion and compare the pion electromagnetic form factor F_pi to experimental data. Good agreement is found between lattice data and experiment.

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