| 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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| 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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