Finite Volume Effects in Weak Hadronic Decays

In this talk we discuss finite-volume computations of two-body hadronic decays below the inelastic threshold (e.g. $K\toππ$ decays). In particular we show how the relation between finite-volume matrix elements and physical amplitudes, recently derived by Lellouch and Lüscher, can be extended to all elastic states under the inelastic threshold. We also provide a derivation of the Lüscher quantization condition directly in quantum field theory.

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