Abstract
Compact expressions for the amplitudes of Delbruck scattering, in the lowest perturbative order, are derived by following the lines of previous papers. We obtain the imaginary parts of the amplitudes in the form of threefold integrals, where the integrands are rather simple irrational functions of their arguments. The real parts of the amplitudes are obtained by the aid of a dispersion relation at fixed momentum transfer, where the spectral functions are represented by threefold integrals very similar to the ones for the imaginary parts, and which reduce to them for small enough momentum transfer. Numerical results will be given in a subsequent paper.
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