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Type: Conference paper
Title: A Non-perturbative operator product expansion
Author: Bietenholz, W.
Cundy, N.
Gockeler, M.
Horsley, R.
Perlt, H.
Pleiter, D.
Rakow, P.
Schierholz, G.
Schiller, A.
Streuer, T.
Zanotti, J.
Citation: P o S - Proceedings of Science (LATTICE 2009), 2009; 138:1-138:7
Publisher: Scuola Internazionale Superiore di Studi Avanzati (S I S S A)
Publisher Place: Italy
Issue Date: 2009
ISSN: 1824-8039
Conference Name: International Symposium on Lattice Field Theory (27th : 2009 : Beijing, China)
Statement of
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
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.
Rights: Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
RMID: 0020120333
DOI: 10.22323/1.091.0138
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Appears in Collections:Chemistry and Physics publications

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