$O(a)$ Improvement of Nucleon Matrix Elements

Details $O(a)$ Improvement of Nucleon Matrix Elements $O(a)$ Improvement of Nucleon Matrix Elements

1997-09-13

arxiv.org/abs/hep-lat/9709036v2

Nucl.Phys.Proc.Suppl.63:233-235,1998

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Latex, 4 figures, epsf.sty and espcrc2.sty needed, Talk given at LATTICE97. Figure 4 corrected

Scientific paper

10.1016/S0920-5632(97)00730-5

We report on preliminary results of a high statistics quenched lattice QCD calculation of nucleon matrix elements within the Symanzik improvement programme. Using the recently determined renormalisation constants from the Alpha Collaboration we present a fully non-pertubative calculation of the forward nucleon axial matrix element with $O(a)$ lattice artifacts completely removed. Runs are made at $\beta=6.0$ and $\beta=6.2$, in an attempt to check scaling and $O(a^2)$ effects. We shall also briefly describe results for $$, the matrix element of a higher derivative operator.

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