%0 Journal Article
%T $K \to ¦Ð¦Ð$ Decays with Domain Wall Fermions: Towards Physical Results
%A Robert D. Mawhinney
%J Physics
%D 2000
%I arXiv
%R 10.1016/S0920-5632(01)00949-5
%X We are using domain wall fermions to study $K \to \pi \pi$ matrix elements by measuring $K \to \pi$ and $K \to 0$ matrix elements on the lattice and employing chiral perturbation theory to relate these to the desired physical result. The residual chiral symmetry breaking of domain wall fermions with a finite extent in the fifth dimension impacts these measurements. Using the Ward-Takahashi identities, we investigate residual chiral symmetry breaking effects for divergent quantities and study pathologies of the quenched approximation for small quark mass. We then discuss the $\Delta S = 1$ operator $O_2$, where chiral symmetry is vital for the subtraction of unphysical effects.
%U http://arxiv.org/abs/hep-lat/0010030v2