Abstract

The scattering of light by light is considered with the aid of double dispersion relations. The spectral functions are easily obtained, in the lowest perturbative order, by means of the Cutkosky rules and a Mandelstam representation is explicitly written. This approach is very suitable for the symmetry properties of this scattering reaction and allows to obtain the differential cross-section in a straightforward way for all the values of the energy and of the angle. In order to give a detailed exposition of the method we consider in this paper only that amplitude which describes the scattering of linearly polarized photons in a direction perpendicular to the scattering plane.

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