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

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

1997-04-15

arxiv.org/abs/hep-ph/9704330v1

Phys.Rev. D56 (1997) 8103-8106

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, TeX, no figures

Scientific paper

10.1103/PhysRevD.56.8103

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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