Boundary reduction formula

Abstract

An asymptotic theory is developed for general non-integrable boundary quantum field theory in 1 + 1 dimensions based on the Lagrangian description. Reflection matrices are defined to connect asymptotic states and are shown to be related to the Green functions via the boundary reduction formula derived. The definition of the R- matrix for integrable theories due to Ghoshal and Zamolodchikov and that used in the perturbative approaches are shown to be related.