Lattice Approach to the $\Delta I=1/2$ Rule

Abstract

We discuss a number of old and new methods for computing $K\to \pi \pi$ amplitudes on the lattice. They all involve a non-perturbative determination of matching coefficients. We show how problems related to operator mixing can be greatly reduced by using point-split hadronic currents.

Comments: 7 pages, plain Latex. Talk given at "Cortona 1998", Cortona - Italy