Application of pion effective theory to lattice QCD for controlling the finite volume effect at 1% level
| Project/Area Number |
25800147
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Osaka University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | カイラル摂動論 / 格子QCD |
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| Outline of Final Research Achievements |
The goal of this study is to control finite volume effect in lattice QCD, which is one of main systematic uncertainties. We found by controling the zero-momentum modes, that 4fm lattice size is enough to extract pion form factor with its uncertainty below 1 %. We apply this result to lattice QCD simulations and determined the pion electromagnetic radius, which agrees with the experiment. We also computed the chiral condensate by measuring the Dirac eigenvalue density compared to the Banks-Casher relation in a region we found that the finite volume effect is small using chiral perturbation theory. Our estimate for the statistical and systematic uncertainty of our result is only 1.8 %.
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Report
(5 results)
Research Products
(32 results)
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[Presentation] Topology in lattice QCD2015
Author(s)
H. Fukaya for JLQCD collaboration
Organizer
Symposium on `Quarks to Universe in Computational Science (QUCS 2015)’
Place of Presentation
Nara Prefectural New Public Hall, Nara
Year and Date
2015-11-04
Related Report
Int'l Joint Research / Invited
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[Presentation] Renormalization of two-dimensional XQCD2015
Author(s)
H. Fukaya and R. Yamamura
Organizer
The 33rd International Symposium on Lattice Field Theory
Place of Presentation
Kobe International Conference Center, Kobe, Japan
Year and Date
2015-07-14
Related Report
Int'l Joint Research
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[Presentation] On the axial U(1) symmetry at finite temperature2015
Author(s)
G. Cossu, H. Fukaya, S. Hashimoto, J. Noaki, A. Tomiya (JLQCD collaboration)
Organizer
The 33rd International Symposium on Lattice Field Theory
Place of Presentation
Kobe International Conference Center, Kobe, Japan
Year and Date
2015-07-14
Related Report
Int'l Joint Research
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