Planck scattering beyond the eikonal approximation in the functional approach
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In the framework of functional integration the non-leading terms of the leading eikonal behavior of the Planck energy scattering amplitude are calculated by the straight-line path approximation. We show that the allowance for the first-order correction terms leads to the appearance of the retardation effect. The singular character of the correction terms at short distances is also noted, and they may ultimately lead to the appearance of non-eikonal contributions to the scattering amplitudes.
KeywordsShort Distance Correction Term Functional Integration Functional Approach Retardation Effect
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