$O(a)$ Improvement of Nucleon Matrix Elements

Abstract

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 $<x>$, the matrix element of a higher derivative operator.

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

References in corpus (2)

• Non-perturbative O(a) improvement of lattice QCD
• Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD

Cited by in corpus (3)

• Nucleon electromagnetic form factors on the lattice and in chiral effective field theory
• Renormalisation and off-shell improvement in lattice perturbation theory
• Operator improvement for Ginsparg-Wilson fermions