Abstract
In this paper we intend to analyze the geometry underlying the various representations of the relativistic scattering amplitudes. More precisely we consider the direct-channel expansion, its euclidean contraction and the crossed-channel representation. In all these representations one can distinguish the factors which express the dynamics from those which reflect the symmetry; starting from the latter, one can try a geometrical interpretation of the harmonic analysis of the scattering amplitude on the Poincaré group.
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Viano, G.A. On the geometrical interpretation of the harmonic analysis of the scattering amplitude. Commun.Math. Phys. 26, 290–300 (1972). https://doi.org/10.1007/BF01645524
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DOI: https://doi.org/10.1007/BF01645524