  We propose a new method for the nonperturbative solution of quantum field
theories and illustrate its use in the context of a light-front analog to the
Greenberg--Schweber model. The method is based on light-front quantization and
uses the exponential-operator technique of the many-body coupled-cluster
method. The formulation produces an effective Hamiltonian eigenvalue problem in
the valence Fock sector of the system of interest, combined with nonlinear
integral equations to be solved for the functions that define the effective
Hamiltonian. The method avoids the Fock-space truncations usually used in
nonperturbative light-front Hamiltonian methods and, therefore, does not suffer
from the spectator dependence, Fock-sector dependence, and uncanceled
divergences caused by such truncations.
