Status and prospects for the calculation of hadron structure from lattice QCD

Source: arXiv

ABSTRACT Lattice QCD calculations of hadron structure are a valuable complement to many experimental programs as well as an indispensable tool to understand the dynamics of QCD. I present a focused review of a few representative topics chosen to illustrate both the challenges and advances of our community: the momentum fraction, axial charge and charge radius of the nucleon. I will discuss the current status of these calculations and speculate on the prospects for accurate calculations of hadron structure from lattice QCD. Comment: Proceedings of plenary talk given at Lattice 2009 in Beijing, China To appear as PoS (LAT2009) 018

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    ABSTRACT: The last years have seen impressive progress in hadron structure calculations in dynamical lattice QCD. Form factors, moments of PDFs and GPDs, and many other important observables have been studied with increasing accuracy, giving access to fundamental physics questions, for example related to the distribution of charge and momentum in hadrons and the spin structure of the nucleon. We illustrate the recent achievements and remaining challenges by reviewing a small number of selected lattice results.
    AIP Conference Proceedings. 12/2009; 1182(1):425-430.
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    ABSTRACT: We review recent results on hadron form factors and nucleon generalized parton distibutions obtained with dynamical lattice QCD simulations. We discuss lattice artifacts and open questions, and present the connection of lattice results to hadron structure and to the corresponding quantities measured in experiment. Comment: References added, typos corrected. 14 pages, 16 figures. Plenary talk at the XXVIII International Symposium on Lattice Field Theory, Lattice2010, June 14-19, 2010, Villasimius, Italy
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    ABSTRACT: We discuss the accurate determination of matrix elements < f| h_w | i > where neither |i> nor |f> is the vacuum state and h_w is some operator. Using solutions of the Generalized Eigenvalue Problem (GEVP) we construct estimators for matrix elements which converge rapidly as a function of the Euclidean time separations involved. |i> and |f> may be either the ground state in a given hadron channel or an excited state. Apart from a model calculation, the estimators are demonstrated to work well for the computation of the B*B pi-coupling in the quenched approximation. They are also compared to a standard ratio as well as to the "summed ratio method" of [1,2,3]. In the model, we also illustrate the ordinary use of the GEVP for energy levels.
    Journal of High Energy Physics 08/2011; · 5.62 Impact Factor

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