Abstract
Schwarz's method to construct off-mass-shell amplitudes is extended to two-body scatter ing amplitudes with arbitrary external masses in the Veneziano and Neveu-Schwarz models. It is shown that ghost-free amplitudes are obtainable by replacing linear t-channel trajectories by s-dependent ones in the Veneziano amplitudes and the Neveu-Schwarz ones respectively. It is also shown that transversely polarized integer spin particles can be introduced as one of initial or final two particles. In particular an application of our method to virtual Com pton scattering amplitudes reveals that the longitudinal parts vanish identically.
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