Electromagnetic Splittings and Light Quark Masses

Abstract

A method for computing electromagnetic properties of hadrons in lattice QCD is described. 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 $\beta =5.7$ with Wilson action, the ${\pi }^{+}-{\pi }^0$ splitting is found to be $4.9(3)$ MeV. Using the measured $K^0-K^{+}$ splitting, we also find $m_u/m_d=.512(6)$. Systematic errors are discussed. Preliminary results for vector meson splittings are also presented.}

Talk presented at LATTICE96(spectrum)

References in corpus (1)

• Electromagnetic Splittings and Light Quark Masses in Lattice QCD

Cited by in corpus (6)

• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions
• Massive photons: an infrared regularization scheme for lattice QCD+QED
• pi^+ - pi^0 mass difference from the Bethe-Salpeter equation
• Quantum Simulation of QED in Coulomb Gauge
• Reducing Hadronic Uncertainty in Low-Energy Neutral-Current Processes