Abstract
The scalar Yukawa (or Wick-Cutkosky) model, in which complex scalar fields, and , interact via a real scalar field, , is reformulated by using covariant Green functions. It is shown that exact few particle eigenstates of the resulting truncated quantum field theory Hamiltonian can be obtained in the Feshbach-Villars formulation. Analytic solutions for the arbitrary mass two-body case are obtained for massless chion exchange in (3 + 1) dimensions. The binding energy is found to increase more rapidly with strength of coupling than in the case of corresponding results obtained using the regular and light-cone ladder Bethe-Salpeter approximations.
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