EFFECTIVE ACTION FOR HIGH-ENERGY SCATTERING IN GRAVITY

The multi-Regge effective action is derived directly from the lineariz ed gravity action. After excluding the redundant held components we se parate the fields into momentum modes and integrate over modes which c orrespond neither to the kinematics of scattering nor to that of excha nged particles. The effective vertices of scattering and of particle p roduction are obtained as sums of the contributions from the triple an d quartic interaction terms and the fields in the effective action are defined in terms of the two physical components of the metric fluctua tion.