2016 Fiscal Year Final Research Report
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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| 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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| Free Research Field |
素粒子論、特に格子QCD
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