High Energy Scattering in the Quasi-Potential Approach

TL;DR

This paper develops a systematic scheme within the quasi-potential approach to analyze high-energy scattering amplitudes of scalar particles, including leading and correction terms, relevant for quantum gravity.

Contribution

It introduces a new systematic method for calculating leading and correction eikonal scattering amplitudes in quantum field theory.

Findings

Derived the first correction to the leading eikonal amplitude.

Established the connection between quasi-potential and functional approaches.

Provided a framework applicable to scalar, vector, and tensor exchanges.

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. Keywords: Eikonal scattering theory, Quantum gravity.