My study

Publications

• Scientific papers(inspire)

Presentations

Recent or upcoming presentations of my research are found here.

Kaken-hi budgets

Hidenori Fukaya's research is supported by Kaken-hi budgets. Recent achievements are summarized below. For more details, please visit here.

Investigating topology of QCD with domain-wall fermion action

Kiban-Kenkyu(B) 18H01216

Investigating topology of lattice gauge theory with domain-wall fermion

Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area) "Discrete Geometric Analysis for Materials Design"Kobo-Kenkyu 18H04484

Application of pion effective theory to lattice QCD for controlling the finite volume effect at 1% level

Grant-in-Aid for Young Scientists (B) 25800147

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 %.

References
• Extracting the electromagnetic pion form factor from QCD in a finite volume, Hidenori Fukaya and Takashi Suzuki, Phys. Rev. D 90, 114508
• Computation of the electromagnetic pion form factor from lattice QCD in the epsilon-regime, H. Fukaya, S. Aoki, S. Hashimoto, T. Kaneko, H. Matsufuru, and J. Noaki (JLQCD Collaboration) Phys. Rev. D 90, 034506
• Stochastic calculation of the Dirac spectrum on the lattice and a determination of chiral condensate in 2 + 1-flavor QCD, Guido Cossu, Hidenori Fukaya, Shoji Hashimoto, Takashi Kaneko, Jun-Ichi Noaki (JLQCD Collaboration) Prog Theor Exp Phys (2016) 2016 (9): 093B06.