The relativistic eikonal formula for high-energy scattering, discussed recently by a number of authors, rests on a certain technical approximation concerning the high-energy behavior of sums of generalized ladder graphs. This approximation is shown to be justified, in the sense that it preserves the leading energy behavior in the sum over all generalized ladder graphs of a given order.
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Tiktopoulos et al. (1970) studied this question.
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