Computation of the electromagnetic pion form factor from lattice QCD in the ϵ\epsilon regime

May 16, 2014
8 pages
Published in:
  • Phys.Rev.D 90 (2014) 3, 034506
  • Published: Aug 21, 2014
e-Print:
Report number:
  • OU-HET-816,
  • KEK-CP-306,
  • YITP-14-38

Citations per year

2014201720202023202501234
Abstract: (APS)

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 ε regime with the small size of our lattice 1.8fm. The finite volume corrections are generally expected to be 100% in the ε 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.

Note:
  • 16pages, 5 figures, minor corrections, references added, published by PRD
  • 11.15.Ha
  • 11.30.Rd
  • 12.38.Gc
  • pi: form factor
  • pi: charge radius
  • correction: finite size
  • finite size: effect
  • quark: overlap
  • quark: mass dependence
  • quark: flavor: 3