Efficient use of the Generalized Eigenvalue Problem

Abstract

We analyze the systematic errors made when using the generalized eigenvalue problem to extract energies and matrix elements in lattice gauge theory. Effective theories such as HQET are also discussed. Numerical results are shown for the extraction of ground-state and excited B-meson masses and the ground-state decay constant in the static approximation.

Comments: 8 pages, 3 postscript figures; talk presented at the XXVI Symposium on Lattice Field Theory, Williamsburg, Virginia, USA, July 14-19 2008