Nonlinear Regge trajectories and saturation of the Hagedorn spectrum

We argue that two seemingly different phenomena, namely the well-known saturation of the Hagedorn exponential distribution and the less familiar saturation of Regge trajectories at resonance masses m ≈ 2-2.5 GeV, are related and have the same origin: quark deconfinement. We show that the slope of the real part of nonlinear Regge trajectories determines the prefactor f (m ) in Hagedorn's resonance mass density distribution ρ (m ) . While the Hagedorn distribution comes from statistics, Regge trajectories contain dynamics.