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arXiv · hep-th/9405169

New Phenomenon of Nonlinear Regge Trajectory and Quantum Dual String Theory

M. Chaichian·J. F. Gomes·R. Gonzalez Felipe
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Abstract

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.

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M. Chaichian, J. F. Gomes, R. Gonzalez Felipe. 1994-05-26. New Phenomenon of Nonlinear Regge Trajectory and Quantum Dual String Theory. https://doi.org/10.1016/0370-2693(94)90303-4

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