• Corpus ID: 15530454

Local bilinear operators on the lattice and their perturbative renormalisation including O(a) effects

@article{Capitani1997LocalBO,
  title={Local bilinear operators on the lattice and their perturbative renormalisation including O(a) effects},
  author={Stefano Capitani and Meinulf Gockeler and R. Horsley and Holger Perlt and Paul E. L. Rakow and G. Schierholz and Arwed Schiller},
  journal={arXiv: High Energy Physics - Lattice},
  year={1997}
}
Some basic concepts are discussed to derive renormalisation factors of local lattice operators relevant to deep inelastic structure functions and to other measurable quantities. These $Z$ factors can be used to relate matrix elements measured by lattice techniques to their continuum counterparts. We discuss the $O(a)$ improvement of point and one-link lattice quark operators. Suitable bases of improved operators are derived. Tadpole improvement is applied to get more reliable perturbative… 

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