DOI 10.1007/s100520000328
Straight-line path approximation for
high energy elastic
and inelastic
scattering in quantum gravity
Institute of Theoretical Physics, Chinese Academy of
Sciences,
P.O. Box 2735, Beijing 100080, P.R. China
Received: 6 December 1999 / Published online: 6 July 2000 - © Springer-Verlag 2000
Abstract
The asymptotic behavior of Planck energy elastic and
inelastic amplitudes in quantum gravity is studied by means of
the functional integration method. A straight-line path
approximation is used to calculate the functional integrals which
arise.
Closed relativistically invariant expressions are obtained for
the two "nucleons'' elastic and inelastic amplitudes including
the radiative corrections. Under the requirement of "softness''
of the
secondary gravitons a Poisson distribution for the number of
particles emitted in the collision is found.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
