2017/05/31 by Keh-Fei Liu, Jian Liang, Yi-Bo Yang
Physics and Astronomy · #Baryon #Cluster (spacecraft) #Computer science #High-Energy Particle Collisions Research #Lattice QCD #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Statistical physics #Strangeness #cond-mat.stat-mech #hep-lat #hep-ph #nucl-th #physics.comp-ph
paper · pdf · doi:10.1103/physrevd.97.034507
published as Phys. Rev. D 97, 034507 (2018) · 7 pages, 5 figures, appendix added to address the systematic error
openalex publication_date 2018/02/15 · arxiv created 2018/07/10 · arxiv updated 2018/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
It is a common problem in lattice QCD calculation of the mass of the hadron with an annihilation channel that the signal falls off in time while the noise remains constant. In addition, the disconnected insertion calculation of the three-point function and the calculation of the neutron electric dipole moment with the \ensuremathθ term suffer from a noise problem due to the √(V) fluctuation. We identify these problems to have the same origin and the √(V) problem can be overcome by utilizing the cluster decomposition principle. We demonstrate this by considering the calculations of the glueball mass, the strangeness content in the nucleon, and the CP violation angle in the nucleon due to the \ensuremathθ term. It is found that for lattices with physical sizes of 4.5--5.5 fm, the statistical errors of these quantities can be reduced by a factor of 3 to 4. The systematic errors can be estimated from the Akaike information criterion. For the strangeness content, we find that the systematic error is of the same size as that of the statistical one when the cluster decomposition principle is utilized. This results in a 2 to 3 times reduction in the overall error.