Amplitudes with Mandelstam Analyticity and Dual Structure

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Abstract
A general representation for scattering amplitudes is proposed which is crossing symmetric, satisfies Regge behavior and duality, and possesses double spectral functions. As the width parameter goes to zero, the resonance poles on the second sheet move onto the real axis and the amplitude reduces to the Veneziano model. Partial waves generated from this amplitude exhibit correct threshold behavior in both the real and imaginary parts. A generalization to more-point functions is also proposed.