Variance reduction and cluster decomposition

Liu, Keh-Fei; Liang, Jian; Yang, Yi-Bo

doi:10.1103/PhysRevD.97.034507

Title: Variance reduction and cluster decomposition

Journal Article · Thu Feb 15 00:00:00 EST 2018 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.97.034507· OSTI ID:1421301

Liu, Keh-Fei; Liang, Jian; Yang, Yi-Bo

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 θ 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 θ 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.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of Kentucky, Lexington, KY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0013065; AC05-00OR22725

OSTI ID:: 1421301

Alternate ID(s):: OSTI ID: 1503880; OSTI ID: 1594999

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 97 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 22 works

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