2014/05/31 by H. Fukaya, Hidenori Fukaya, Sinya Aoki +6
Mathematics · Physics and Astronomy · #Algorithm #Charge radius #Computation #Form factor (electronics) #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #hep-lat
paper · pdf · doi:10.1103/physrevd.90.034506
published as Phys. Rev. D 90, 034506 (2014) · 16pages, 5 figures, minor corrections, references added, published by PRD
openalex publication_date 2014/08/21 · arxiv created 2014/09/01 · arxiv updated 2014/09/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We calculate the electromagnetic pion form factor in lattice QCD with 2+1 flavors of the dynamical overlap quarks. Up and down quark masses are set below their physical values so that the system is in the so-called \ensuremathε regime with the small size of our lattice \ensuremath∼1.8 fm. The finite volume corrections are generally expected to be \ensuremath∼100% in the \ensuremathε regime. We, however, find a way to automatically cancel the dominant part of them. Inserting nonzero momenta and taking appropriate ratios of the two- and three-point functions, we can eliminate the contribution from the zero-momentum pion mode. Then the remaining finite volume effect is a small perturbation from the nonzero modes. Our lattice data agree with this theoretical prediction and the extracted pion charge radius is consistent with the experiment.