Irreducible representations (IRs) of the double-covered octahedral group are used to construct lattice source and sink operators for three-quark baryons. The goal is to achieve a good coupling to higher spin states as well as ground states. Complete sets of local and nonlocal straight-link operators are explicitly shown for isospin 1/2 and 3/2 baryons. The orthogonality relations of the IR operators are confirmed in a quenched lattice simulation.
@article{arxiv.hep-lat/0409080,
title = {Baryonic sources using irreducible representations of the double-covered octahedral group},
author = {LHP Collaboration and S. Basak and R. Edwards and R. Fiebig and G. T. Fleming and U. M. Heller and C. Morningstar and D. Richards and I. Sato and S. Wallace},
journal= {arXiv preprint arXiv:hep-lat/0409080},
year = {2014}
}
Comments
Talk presented at Lattice2004(heavy), Fermilab, June 21-26, 2004, 3 pages