English

Electromagnetic Splittings and Light Quark Masses in Lattice QCD

High Energy Physics - Lattice 2009-10-28 v1 High Energy Physics - Phenomenology

Abstract

A method for computing electromagnetic properties of hadrons in lattice QCD is described and preliminary numerical results are presented. The electromagnetic field is introduced dynamically, using a noncompact formulation. Employing enhanced electric charges, the dependence of the pseudoscalar meson mass on the (anti)quark charges and masses can be accurately calculated. At β=5.7\beta=5.7 with Wilson action, the π+π0\pi^+-\pi^0 splitting is found to be 4.9(3)4.9(3) MeV. Using the measured K0K+K^0-K^+ splitting, we also find mu/md=.512(6)m_u/m_d = .512(6). Systematic errors are discussed.

Cite

@article{arxiv.hep-lat/9602005,
  title  = {Electromagnetic Splittings and Light Quark Masses in Lattice QCD},
  author = {A. Duncan and E. Eichten and H. Thacker},
  journal= {arXiv preprint arXiv:hep-lat/9602005},
  year   = {2009}
}