More on eikonal approximation for high energy scattering

TL;DR

This paper develops an eikonal approximation framework for high energy scattering, expressing the scattering matrix via color charge densities and incorporating longitudinal fields in a Hamiltonian formalism.

Contribution

It introduces a Hamiltonian formalism-based eikonal approximation that accounts for longitudinal fields in high energy scattering.

Findings

Eikonal scattering matrix expressed in terms of color charge densities

Longitudinal electric and magnetic fields included in the approximation

Framework applicable to very energetic colliding objects

Abstract

We formulate eikonal approximation to the calculation of high energy scattering amplitude in the frame where both colliding objects are very energetic. We express the eikonal scattering matrix in terms of the color charge densities of the colliding objects. The calculation is performed in the Hamiltonian formalism. We also show that the appearance of the longitudinal electric and magnetic fields immediately following the collision is fully taken into account in the eikonal approximation.