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Exact solutions and triviality of lambda (phi^*phi)^2 theory in the Feshbach-Villars formulation

Jurij W. Darewych
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Abstract

The complex scalar quantum field theory with a lambda (phi^*phi)^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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Jurij W. Darewych. 1997-04-15. Exact solutions and triviality of lambda (phi^*phi)^2 theory in the Feshbach-Villars formulation. https://doi.org/10.1103/physrevd.56.8103

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