%0 Journal Article
%T New Phenomenon of Nonlinear Regge Trajectory and Quantum Dual String Theory
%A M. Chaichian
%A J. F. Gomes
%A R. Gonzalez Felipe
%J Physics
%D 1994
%I arXiv
%R 10.1016/0370-2693(94)90303-4
%X The relation between the spin and the mass of an infinite number of particles in a $q$-deformed dual string theory is studied. For the deformation parameter $q$ a root of unity, in addition to the relation of such values of $q$ with the rational conformal field theory, the Fock space of each oscillator mode in the Fubini-Veneziano operator formulation becomes truncated. Thus, based on general physical grounds, the resulting spin-(mass)$^2$ relation is expected to be below the usual linear trajectory. For such specific values of $q$, we find that the linear Regge trajectory turns into a square-root trajectory as the mass increases.
%U http://arxiv.org/abs/hep-th/9405169v1