Variance reduction and cluster decomposition

Keh Fei Liu, Jian Liang, Yi Bo Yang

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

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.

Original languageEnglish
Article number034507
JournalPhysical Review D
Volume97
Issue number3
DOIs
StatePublished - Feb 1 2018

Bibliographical note

Publisher Copyright:
© 2018 authors.

Funding

This work is supported in part by the U.S. DOE Grant No.\u00A0DE-SC0013065. This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No.\u00A0DE-AC05-00OR22725. This work used the Extreme Science and Engineering Discovery Environment (XSEDE) Stampede at TACC through allocation MCA01S007, which is supported by National Science Foundation Grant No.\u00A0ACI-1053575 [17] . We also thank National Energy Research Scientific Computing Center (NERSC) for providing HPC resources that have contributed to the research results reported within this paper. We acknowledge the facilities of the USQCD Collaboration used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy. APPENDIX: This work is supported in part by the U.S. DOE Grant No.DE-SC0013065. This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No.DE-AC05-00OR22725. This work used the Extreme Science and Engineering Discovery Environment (XSEDE) Stampede at TACC through allocation MCA01S007, which is supported by National Science Foundation Grant No.ACI-1053575. We also thank National Energy Research Scientific Computing Center (NERSC) for providing HPC resources that have contributed to the research results reported within this paper. We acknowledge the facilities of the USQCD Collaboration used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy.

FundersFunder number
U.S. DOE NNSA-SSAA
Oak Ridge National Laboratory
Oak Group
NSF Extreme Science and Engineering Discovery Environment
National Science Foundation Office of International Science and Engineering
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of ChinaACI-1053575
U.S. Department of Energy Oak Ridge National Laboratory U.S. Department of Energy National Science Foundation National Energy Research Scientific Computing CenterDE-AC05-00OR22725, DE-SC0013065
Texas Advanced Computer Center (TACC) ofMCA01S007
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China1053575

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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