Eur. Phys. J. C 24, 643-651 (2002)
Planck scattering beyond the eikonal approximation in the functional approachNguyen Suan Han and Nguyen Nhu Xuan
Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, P.R. China
(Received: 14 March 2002 / Published online: 5 July 2002)
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.
© Società Italiana di Fisica, Springer-Verlag 2002