The glueball Regge trajectory from the string-inspired theory

The special case of 4D string-like theory proposed early is investigated. Regge trajectories in the developed model are non-linear for small masses and the values of spin and have the different asymptotical slopes $\alpha_p$. The value $\alpha_p$ just as the form of the trajectory depends from the quantum state of some ''internal'' {relativistic invariant} variables. It is also shown that some trajectories have the asymptotical slope $\alpha_g$=0.21 $Gev^{-2}$.