Renormalization in the light-front Tamm-Dancoff approach to field theory

Abstract

It has recently been proposed that light-front field theory provides a powerful tool for the analysis of relativistic bound states when one makes a Tamm-Dancoff truncation. Such a truncation introduces nonlocalities that require an unfamiliar nonlocal renormalization procedure, in which counterterms are allowed to depend on the sectors of Fock space within which or between which they act. In this paper we illustrate the simplest features of the light-front Tamm-Dancoff approach using the Yukawa model in 1 + 1 dimensions.