Exact solutions and triviality of lambda (phi^*phi)^2 theory in the Feshbach-Villars formulation
High Energy Physics - Phenomenology
2009-10-30 v1
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.
Keywords
Cite
@article{arxiv.hep-ph/9704330,
title = {Exact solutions and triviality of lambda (phi^*phi)^2 theory in the Feshbach-Villars formulation},
author = {Jurij W. Darewych},
journal= {arXiv preprint arXiv:hep-ph/9704330},
year = {2009}
}
Comments
11 pages, TeX, no figures