Status and Perspective of Non-perturbative Renormalization in Weak Decays

Abstract

We discuss the status and the problems related to the application of the off-shell non-perturbative renormalization method in a fixed gauge to operators relevant to weak decays. In particular, we critically reappraise the method recently proposed for the $\Delta I=1/2$ rule. We also present a general analysis of the renormalization for the $\Delta I=3/2$ operators, and apply it to the $\Delta S=2$ operator.

Comments: Invited talk at the International Workshop ``Lattice QCD on Parallel Computers'', 10-15 March 1997, Tsukuba (Japan). LaTeX 12 pages, uses espcrc2, 6 figures