Calculation of Weak Transitions in Lattice QCD

Abstract

We propose the use of Monte Carlo simulations of QCD to evaluate hadronic matrix elements of local operators encountered in electroweak and grand-unified-theory transitions. Preliminary Monte Carlo estimates are made of the $\Delta S=2\mathrm{}$ matrix elements responsible for the $K_L-K_S$ mass difference and the $\Delta S=1\mathrm{}$ operators believed to explain the $\Delta I=\frac{1}{2}$ enhancement.