A Non-perturbative operator product expansion
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Date
2009
Authors
Bietenholz, W.
Cundy, N.
Gockeler, M.
Horsley, R.
Perlt, H.
Pleiter, D.
Rakow, P.
Schierholz, G.
Schiller, A.
Streuer, T.
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Conference paper
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P o S - Proceedings of Science (LATTICE 2009), 2009; 138:1-138:7
Statement of Responsibility
W. Bietenholz, N. Cundy, M. Göckeler, R. Horsley, H. Perlt, D. Pleiter, P.E.L. Rakow, G. Schierholz, A. Schiller, T. Streuer and J.M. Zanotti
Conference Name
International Symposium on Lattice Field Theory (27th : 2009 : Beijing, China)
Abstract
Nucleon structure functions can be observed in Deep Inelastic Scattering experiments, but it is an outstanding challenge to confront them with fully non-perturbative QCD results. For this purpose we investigate the product of electromagnetic currents (with large photonmomenta) between quark states (of low momenta). By means of an Operator Product Expansion the structure function can be decomposed into matrix elements of local operators, and Wilson coefficients. For consistency both have to be computed non-perturbatively. Here we present precision results for a set of Wilson coefficients. They are evaluated from propagators for numerous quark momenta on the lattice, where the use of chiral fermions suppresses undesired operator mixing. This overdetermines the Wilson coefficients, but reliable results can be extracted by means of a Singular Value Decomposition.
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Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.