Lattice Approach to the $ΔI=1/2$ Rule

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We discuss a number of old and new methods for computing $K\toππ$ 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.
7 pages, plain Latex. Talk given at "Cortona 1998", Cortona - Italy

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