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The complex scalar quantum field theory with a lambda (phi^*phi)^2interaction is considered in the Feshbach-Villars formulation. It is shown thatexact few-particle eigenstates of the QFT Hamiltonian can be obtained. Theresulting relativistic few-body equations correspond to Klein-Gordon particlesinteracting via delta-function, or ``contact'', potentials. Momentum-spacesolutions of the two-body equation yield a `trivial' unity S-matrix.Comment: 11 pages, TeX, no figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Exact eigenstates and “triviality” of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mi>*</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mi>φ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>theory in the Feshbach-Villars formulation

Exact eigenstates and “triviality” ofλ(φ*φ)2theory in the Feshbach-Villars formulation