Planckian Scattering Beyond the Eikonal Approximation in the Quasi-potential Approach

Details Planckian Scattering Beyond the Eikonal Approximation in the Quasi-potential Approach Planckian Scattering Beyond the Eikonal Approximation in the Quasi-potential Approach

2008-04-22

arxiv.org/abs/0804.3432v2

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure. Submitted to European Physical Journal C

Scientific paper

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.

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