Variance reduction and cluster decomposition
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.
- Authors:
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of Kentucky, Lexington, KY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1421301
- Alternate Identifier(s):
- OSTI ID: 1503880; OSTI ID: 1594999
- Grant/Contract Number:
- SC0013065; AC05-00OR22725
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 97 Journal Issue: 3; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Liu, Keh-Fei, Liang, Jian, and Yang, Yi-Bo. Variance reduction and cluster decomposition. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.034507.
Liu, Keh-Fei, Liang, Jian, & Yang, Yi-Bo. Variance reduction and cluster decomposition. United States. https://doi.org/10.1103/PhysRevD.97.034507
Liu, Keh-Fei, Liang, Jian, and Yang, Yi-Bo. Thu .
"Variance reduction and cluster decomposition". United States. https://doi.org/10.1103/PhysRevD.97.034507.
@article{osti_1421301,
title = {Variance reduction and cluster decomposition},
author = {Liu, Keh-Fei and Liang, Jian and Yang, Yi-Bo},
abstractNote = {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.},
doi = {10.1103/PhysRevD.97.034507},
journal = {Physical Review. D.},
number = 3,
volume = 97,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2018},
month = {Thu Feb 15 00:00:00 EST 2018}
}
https://doi.org/10.1103/PhysRevD.97.034507
Web of Science
Figures / Tables:
Works referenced in this record:
The strategy for computing the hadronic mass spectrum
journal, January 1984
- Parisi, Giorgio
- Physics Reports, Vol. 103, Issue 1-4
Local factorization of the fermion determinant in lattice QCD
journal, February 2017
- Cè, Marco; Giusti, Leonardo; Schaefer, Stefan
- Physical Review D, Vol. 95, Issue 3
Lattice calculation of hadronic light-by-light contribution to the muon anomalous magnetic moment
journal, January 2016
- Blum, Thomas; Christ, Norman; Hayakawa, Masashi
- Physical Review D, Vol. 93, Issue 1
XSEDE: Accelerating Scientific Discovery
journal, September 2014
- Towns, John; Cockerill, Timothy; Dahan, Maytal
- Computing in Science & Engineering, Vol. 16, Issue 5
Strangeness and charmness content of the nucleon from overlap fermions on -flavor domain-wall fermion configurations
journal, July 2013
- Gong, M.; Alexandru, A.; Chen, Y.
- Physical Review D, Vol. 88, Issue 1
Neutron and proton electric dipole moments from domain-wall fermion lattice QCD
journal, May 2016
- Shintani, Eigo; Blum, Thomas; Izubuchi, Taku
- Physical Review D, Vol. 93, Issue 9
Lattice Computation of the Nucleon Scalar Quark Contents at the Physical Point
journal, April 2016
- Durr, S.; Fodor, Z.; Hoelbling, C.
- Physical Review Letters, Vol. 116, Issue 17
Domain wall QCD with physical quark masses
journal, April 2016
- Blum, T.; Boyle, P. A.; Christ, N. H.
- Physical Review D, Vol. 93, Issue 7
A new look at the statistical model identification
journal, December 1974
- Akaike, H.
- IEEE Transactions on Automatic Control, Vol. 19, Issue 6
Overlap valence on flavor domain wall fermion configurations with deflation and low-mode substitution
journal, December 2010
- Li, A.; Alexandru, A.; Chen, Y.
- Physical Review D, Vol. 82, Issue 11
Strange Quark Magnetic Moment of the Nucleon at the Physical Point
journal, January 2017
- Sufian, Raza Sabbir; Yang, Yi-Bo; Alexandru, Andrei
- Physical Review Letters, Vol. 118, Issue 4
and strangeness sigma terms at the physical point with chiral fermions
journal, September 2016
- Yang, Yi-Bo; Alexandru, Andrei; Draper, Terrence
- Physical Review D, Vol. 94, Issue 5
Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)
journal, February 2017
- Aoki, S.; Aoki, Y.; Bečirević, D.
- The European Physical Journal C, Vol. 77, Issue 2
Stochastic method with low mode substitution for nucleon isovector matrix elements
journal, February 2016
- Yang, Yi-Bo; Alexandru, Andrei; Draper, Terrence
- Physical Review D, Vol. 93, Issue 3
Ab initio calculation of the neutron-proton mass difference
journal, March 2015
- Borsanyi, S.; Durr, S.; Fodor, Z.
- Science, Vol. 347, Issue 6229
Figures / Tables found in this record: