Improved lattice operators: the case of the topological charge density

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 better statistical behavior as estimators of the topological charge density on the lattice, i.e. less noisy; (ii) a multiplicative renormalization much closer to one; (iii) a large suppression of the perturbative tail (and other unphysical mixings) in the corresponding lattice topological susceptibility.

11 pages (REVTEX) + 4 (uuencoded) figures

References in corpus (4)

• Analysis of Data on Polarized Lepton-Nucleon Scattering
• Topological charge density renormalization in the presence of dynamical fermions
• The spin content of the proton in quenched QCD
• Matrix Elements of the Singlet Axial Current in the Proton

Cited by in corpus (29)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Topological susceptibility at zero and finite $T$ in SU(3) Yang-Mills theory
• Topology of the SU(2) vacuum: a lattice study using improved cooling
• Problems in Lattice Gauge Fixing
• Precision study of the SU(3) topological susceptibility in the continuum
• Topological Structure in the SU(2) Vacuum
• The U_A(1) Problem on the Lattice with Ginsparg-Wilson Fermions
• Revealing Topological Structure in the SU(2) Vacuum
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• Topological susceptibility in full QCD at zero and finite temperature
• Instantons and Fixed Point Actions in SU(2) Gauge Theory
• Field theoretical approach to the study of theta dependence in Yang-Mills theories on the lattice
• Cooling, Physical Scales and Topology
• Behaviour of the topological susceptibility in two colour QCD across the finite density transition
• Topology at zero and finite T in SU(2) Yang-Mills theory
• A critical comparison of different definitions of topological charge on the lattice
• Topology in 2D CP**(N-1) models on the lattice: a critical comparison of different cooling techniques
• Topology at the Deconfinement Transition Uncovered by Inverse Blocking in SU(2) Pure Gauge Theory with Fixed Point Action
• Topological Susceptibility on Dynamical Staggered Fermion Configurations
• Gauge action improvement and smearing
• Analyticity in theta on the lattice and the large volume limit of the topological susceptibility
• Renormalization group flow and fixed point of the lattice topological charge in the 2-d O(3) sigma-model
• Classes of confining gauge field configurations
• Additive and multiplicative renormalization of topological charge with improved gluon/fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions
• Topological properties of full QCD at the phase transition
• Topological charge on the lattice: a field theoretical view of the geometrical approach
• Analysis of systematic errors in the calculation of renormalization constants of the topological susceptibility on the lattice
• Analyticity in theta and infinite volume limit of the topological susceptibility in SU(3) gauge theory
• Topological charge renormalization: A test case for 3-loop vacuum calculations using overlap fermions and Symanzik improved gluons