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

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.

11 pages, TeX, no figures

References in corpus (1)

• The Non-Trivial Effective Potential of the `Trivial' lambda Phi^4 Theory: A Lattice Test

Cited by in corpus (2)

• Deviation from the Kadowaki-Woods relation in Yb-based intermediate-valent systems
• Inter-particle potentials in a scalar QFT with a Higgs-like mediating field