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arXiv · hep-lat/0509133

Structure of the Pion from Full Lattice QCD

D. Brömmel·M. Diehl·M. Göckeler·Ph. Hägler·R. Horsley·D. Pleiter·P. E. L. Rakow·A. Schäfer·G. Schierholz·J. M. Zanotti
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Abstract

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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D. Brömmel, M. Diehl, M. Göckeler, Ph. Hägler, R. Horsley, D. Pleiter, P. E. L. Rakow, A. Schäfer, G. Schierholz, J. M. Zanotti. 2005-09-26. Structure of the Pion from Full Lattice QCD. https://arxiv.org/abs/hep-lat/0509133

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