Is there a $\rho$ in the O(4) $\lambda {\varphi }_4^4$ theory?

Abstract

A Monte Carlo simulation of the O(4) $\lambda {\varphi }^4$ theory in the broken phase is performed on a hypercubic lattice in search of an I=1, J=1 resonance. The region of the cutoff theory where the interaction is strong is investigated since it is there that a resonance would be expected to have a better chance to form. In that region the presence of an I=1, J=1 resonance with mass below the cutoff is excluded.