We calculate the third coefficient of the lattice beta function in QCD with Wilson fermions, extending the pure gauge results of Luescher and Weisz; we show how this coefficient modifies the scaling function on the lattice. We also calculate the three-loop average plaquette in the presence of Wilson fermions. This allows us to compute the lattice scaling function both in the standard and energy schemes.
@article{arxiv.hep-lat/9710018,
title = {Three-Loop Results in QCD with Wilson Fermions},
author = {B. Alles and C. Christou and A. Feo and H. Panagopoulos and E. Vicari},
journal= {arXiv preprint arXiv:hep-lat/9710018},
year = {2009}
}
Comments
3 pages, LaTeX (fleqn.sty, espcrc2.sty), contribution to Lattice'97. Table caption corrected. The longer write-ups are in hep-lat/9801007 (beta function) and hep-lat/9801003 (plaquette)