A Non-Perturbative Operator Product Expansion

Details A Non-Perturbative Operator Product Expansion A Non-Perturbative Operator Product Expansion

2009-10-13

arxiv.org/abs/0910.2437v1

PoS LAT2009:138,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 5 figures, contribution to the XXVII International Symposium on Lattice Field Theory (LAT2009) in Beijing

Scientific paper

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 photon momenta) 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 over-determines the Wilson coefficients, but reliable results can be extracted by means of a Singular Value Decomposition.

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