New Dual Models of Pions with No Tachyon

We observe that the $\sigma$ meson in the recently proposed dual model of Halpern and Thorn can (should) be reinterpreted as a pion in its own right. The resulting model has the $\pi$ and $\rho$ degenerate at zero mass, no fifth quantum numbers, and a generally reduced spectrum. A related second model has nonmultiplicative internal symmetry, a Pomeranchukon (and exotic states), a $\rho$ at 1 GeV, and a zero-mass pion. Both models can be extended to include fermions.