An improved presentation of a novel perturbative scheme in field theory

Abstract

Bender et al. have recently proposed a novel perturbative scheme to analyze self-interacting scalar field theories. Calculations, however, require the use of complicated polynomial interactions for which no general expression has been found. The answers obtained have then to be acted on by a complex differential operator. We propose an alternative approach involving an interaction Lagrangian of only two terms, which presents the whole scheme in a simple way, as well as having some calculational advantage.