Abstract

The complex scalar (Klein-Gordon) quantum field theory (QFT) with a $\ensuremath{\lambda}({\ensuremath{\varphi}}^{*}\ensuremath{\varphi}{)}^{2}$ interaction is considered in the Feshbach-Villars formulation. It is shown that exact few-particle eigenstates of the QFT Hamiltonian can be obtained. The resulting relativistic few-body equations correspond to Klein-Gordon particles interacting via delta-function, or ``contact,'' potentials. Momentum-space solutions of the two-body equation yield a ``trivial'' unity $S$ matrix.

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