612 research outputs found
Signal/noise enhancement strategies for stochastically estimated correlation functions
We develop strategies for enhancing the signal/noise ratio for stochastically
sampled correlation functions. The techniques are general and offer a wide
range of applicability. We demonstrate the potential of the approach with a
generic two-state system, and then explore the practical applicability of the
method for single hadron correlators in lattice quantum chromodynamics. In the
latter case, we determine the ground state energies of the pion, proton, and
delta baryon, as well as the ground and first excited state energy of the rho
meson using matrices of correlators computed on an exemplary ensemble of
anisotropic gauge configurations. In the majority of cases, we find a modest
reduction in the statistical uncertainties on extracted energies compared to
conventional variational techniques. However, in the case of the delta baryon,
we achieve a factor of three reduction in statistical uncertainties. The
variety of outcomes achieved for single hadron correlators illustrates an
inherent dependence of the method on the properties of the system under
consideration and the operator basis from which the correlators are
constructed.Comment: 40 pages, 21 figures; revisions made to the abstract and Section VI
C, one additional figure and five tables added; published versio
- …