Finite Volume Effects in Weak Hadronic Decays

Abstract

In this talk we discuss finite-volume computations of two-body hadronic decays below the inelastic threshold (e.g. $K\to \pi \pi$ 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.

Comments: Talk presented by M. Testa at the Workshop on Lattice Hadron Physics (LHP2001), Cairns, Australia, 9-18 July 2001, 8 pages, requires espcrc2.sty (included)