Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations

Abstract

The light-front Tamm-Dancoff method of finding the nonperturbative solutions in field theory is based on the Fock decomposition of the state vector, complemented by the sector-dependent nonperturbative renormalization scheme. We show in detail how to implement the renormalization procedure and to solve the simplest nontrivial example of the scalar Yukawa model in the two- and three-body Fock space truncations incorporating scalar ``nucleon'' and one or two scalar ``pions''.