arXiv:hep-ph/9704330·v1·High Energy Physics — Phenomenology
Exact solutions and triviality of lambda (phi^*phi)^2 theory in the Feshbach-Villars formulation
Jurij W. Darewych (York Univ., North York, Canada)🇨🇦
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.
Comments: 11 pages, TeX, no figures