Fully Reggeized Scattering Amplitudes

Abstract
We investigate some restrictions imposed on scattering amplitudes of hadrons by Lorentz covariance and the requirement that external as well as virtual particles lie on Regge trajectories (fully Reggeized scattering amplitudes). A generalized Fourier-Mellin integral representation is proposed which expresses these requirements and plays the role of a generalized partial-wave expansion. In the pole approximation, the proposed representation automatically contains local duality and for spinless external particles it reduces to the Veneziano formula.