Improving the topological charge density operator on the lattice

Abstract

We analyze the properties of a class of improved lattice topological charge density operators, constructed by a smearing-like procedure. By optimizing the choice of the parameters introduced in their definition, we find operators having (i) a much better statistical behavior as estimators of the topological charge density on the lattice, i.e. much less noisy; (ii) a multiplicative renormalization much closer to one; (iii) a large suppression of the perturbative tail in the corresponding lattice topological susceptibility.

4 pages, to be published in the Proceedings of Lattice 95, uuencoded postscript file

References in corpus (3)

• Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory
• Topological charge density renormalization in the presence of dynamical fermions
• The spin content of the proton in quenched QCD