Failure of the Perturbation Expansion About the SU(3)⊗SU(3) Limit

Abstract

It is suggested that perturbation-theory corrections to the limit of spontaneously broken SU(3) \ensuremath{\bigotimes} SU(3) symmetry fail because of the existence of a radius of convergence which is much smaller than the experimental values of the symmetry-breaking parameters. The results are compatible with SU(3) being a good symmetry for states even though the Lagrangian has approximate SU(2) \ensuremath{\bigotimes} SU(2) symmetry.