Straight-line path approximation for
high energy elastic
scattering in quantum gravity
Institute of Theoretical Physics, Chinese Academy of
P.O. Box 2735, Beijing 100080, P.R. China
Received: 6 December 1999 / Published online: 6 July 2000 - © Springer-Verlag 2000
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