Relativistic quasipotential model of particle scattering at high energies

The contribution of effective quantum gravity to the high energy scattering in the framework of modified perturbation theory and one loop approximation

“…The purpose of the present paper is to develop a systematic scheme based on modified perturbation theory to find the correction terms to the leading eikonal amplitude by solving the Logunov-Tavkhelidze quasi-potential equation [39][40][41][42][43][44][45][46][47][48][49][50]. In spite of the lack of a clear relativistic covariance, the quasipotential method keeps all information about properties of scattering amplitude which could be received from the general principle of quantum field theory [39].…”

Приближенные Формулы Для Умеренно Малых Эйкональных Амплитуд

“…В квантовой теории возмущений экспоненцирование амплитуд высокоэнергетических процессов, подобное тому, которое имеет место в глауберовском приближении, было изучено в работе [4]. В статье [5] эйкональное представление выведено в рамках квазипотенциального подхода для малых углов рассеяния и гладких квазипотенциалов [6]. В работе [7] рассмотрено обобщение эйконального подхода, которое автоматически учитывает условие унитарности вне массовой поверхности.…”

High Energy Scattering in the Quasipotential Approach

“…Exactly, as it has been done in the usual S-matrix theory [24]. The choice of this approach is dictated also by the following reasons: 1. in the framework of the quasi-potential approach the eikonal amplitude has a rigorous justification in quantum field theory [4]; 2. in the case of smooth potentials, it was shown that a relativistic quasi-potential and the Schrodinger equations lead to qualitatively identical results [28,29].…”