Improving the topological charge density operator on the lattice

Christou, C. and Giacomo, A. Di and Panagopoulos, H. and Vicari, E. (1996) Improving the topological charge density operator on the lattice. Physical review. D, Particles, fields, gravitation, and cosmology . p. 266. ISSN 1550-7998

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.

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