The operator product expansion on the lattice
High Energy Physics - Lattice
2008-11-26 v1
Abstract
We investigate the Operator Product Expansion (OPE) on the lattice by directly measuring the product <Jmu Jnu> (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.
Keywords
Cite
@article{arxiv.0712.3772,
title = {The operator product expansion on the lattice},
author = {W. Bietenholz and N. Cundy and M. Göckeler and R. Horsley and H. Perlt and D. Pleiter and P. E. L. Rakow and C. J. Roberts and G. Schierholz and A. Schiller and J. M. Zanotti},
journal= {arXiv preprint arXiv:0712.3772},
year = {2008}
}
Comments
7 pages, 4 postscript figures. Contribution to Lattice 2007, Regensburg