Signal/noise enhancement strategies for stochastically estimated correlation functions
Name
PhysRevD.90.034503.pdf
Size
10.84 MB
Format
Adobe PDF
Checksum (MD5)
09a7bc4b876fd6908ec69437f06e5ed3
Author(s)
Detmold, William
Endres, Michael G.
Date Issued
August 2014
Journal
Physical Review D
Publisher
American Physical Society
Citation
Detmold, William, and Michael G. Endres. "Signal/noise enhancement strategies for stochastically estimated correlation functions." Phys. Rev. D 90, 034503 (August 2014). © 2014 American Physical Society
Version
Final published version
Abstract
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 3 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.90.034503
