The $I=1$, $J=1$ channel of the O(4) $\lambda \phi^4_4$ theory

TL;DR

This study uses Monte Carlo simulations to investigate the existence of an $I=1$, $J=1$ resonance in the $O(4)$ $ angle ^4_4$ theory's broken phase, finding no resonance below the cutoff in the strong interaction region.

Contribution

It provides the first Monte Carlo evidence excluding the $I=1$, $J=1$ resonance in the specified theory's strong interaction regime.

Findings

No $I=1$, $J=1$ resonance detected below cutoff

Resonance presence is excluded in the strong interaction region

Supports theoretical predictions about resonance absence

Abstract

A Monte Carlo simulation of the $O(4)$ $\lambda \phi^4$ theory in the broken phase is performed on a hypercubic lattice in search of an $I=1$, $J=1$ resonance. We investigate the region of the cutoff theory where the interaction is strong as 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. NOTE: The full ps file is also available via anonymous ftp to ftp.scri.fsu.edu. To get the ps file, ftp to this address and use for username "anonymous" and for password your name. The file is in the directory pub/vranas (to go to that directory type: cd pub/vranas) and is called lat92_proc_rho.ps (to get it type: get lat92_proc_rho.ps)