Is the σ meson dynamically generated?

We study the problem whether the σ meson is generated 'dynamically'. A pedagogical analysis on the toy O(N) linear sigma model is performed and we find that the large Nc limit and the mσ → ∞ limit does not commute. The sigma meson may not necessarily be described as a dynamically generated resonance. On the contrary, the sigma meson may be more appropriately described by considering it as an explicit degree of freedom in the effective lagrangian