Eur. Phys. J. C 24, 643-651 (2002)
DOI: 10.1007/s10052-002-0962-6
Planck scattering beyond the eikonal approximation in the functional approach
Nguyen Suan Han and Nguyen Nhu XuanInstitute 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)
Abstract
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
