High Energy Scattering in the Quasipotential Approach

Abstract

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential approach and the modified perturbation theory a systematic scheme of finding the leading eikonal scattering amplitudes and its corrections are developed and constructed.The connection between the solutions obtained by quasi-potential and functional approaches is also discussed.The first correction to leading eikonal amplitude is found.

The High Energy Scattering Amplitude One-loop Gravitation in the Effective Field Theory

“…This work arms to make a more detailed investigation of the approach, which is based on modified perturbation theory, to find the correction terms to the leading eikonal amplitude by solving the Logunov-Tavkhelidze quasi-potential equation [11][12][13][14].…”