IS THERE A P-WAVE BOUND-STATE OF W(L)W(L) - ON THE DYNAMIC GENERATION OF A RHO-MESON IN THE SIGMA-MODEL

We investigate the possibility that the Higgs Lagrangian predicts the existence of a P-wave W(L)W(L) resonance. This problem is equivalent to studying the formation of the rho meson by the dynamics contained in the sigma model. Using the Pade approximation, Basdevant and Lee had claimed that rho is generated dynamically. We show that their result, while computationally correct, is not significant, because of the position of the Landau ghost. For the same reason, a W(L)W(L) P-wave resonance below 2 TeV is not expected, unless the standard model is violated.