English

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

High Energy Physics - Lattice 2009-10-22 v1 High Energy Physics - Phenomenology

Abstract

A Monte Carlo simulation of the O(4) λϕ4\lambda \phi^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.

Cite

@article{arxiv.hep-lat/9203001,
  title  = {Is there a $\rho$ in the O(4) $\lambda \phi^4_4$ theory?},
  author = {Khalil M. Bitar and Pavlos M. Vranas},
  journal= {arXiv preprint arXiv:hep-lat/9203001},
  year   = {2009}
}
R2 v1 2026-07-22T13:17:43.948Z