The operator product expansion on the lattice

Details The operator product expansion on the lattice The operator product expansion on the lattice

2007-12-21

arxiv.org/abs/0712.3772v1

PoSLAT2007:159,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 4 postscript figures. Contribution to Lattice 2007, Regensburg

Scientific paper

We investigate the Operator Product Expansion (OPE) on the lattice by directly measuring the product (where J is the vector current) and comparing it with the expectation values of bilinear operators. This will determine the Wilson coefficients in the OPE from lattice data, and so give an alternative to the conventional methods of renormalising lattice structure function calculations. It could also give us access to higher twist quantities such as the longitudinal structure function F_L = F_2 - 2 x F_1. We use overlap fermions because of their improved chiral properties, which reduces the number of possible operator mixing coefficients.

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