https://doi.org/10.1140/epjc/s10052-019-7355-6
Regular Article - Theoretical Physics
The contribution of effective quantum gravity to the high energy scattering in the framework of modified perturbation theory and one loop approximation
1
Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, 141980, Russia
2
Hanoi University of Science, Ha Noi, Vietnam
3
Department of Physics, Le Qui Don University, Hanoi, Vietnam
4
Hanoi University of Natural Resources and Environment, Ha Noi, Vietnam
* e-mail: suanhan@hus.edu.vn
** e-mail: suan@theor.jinr.ru
Received:
4
April
2019
Accepted:
29
September
2019
Published online:
10
October
2019
The asymptotic behavior of the scattering amplitude for two scalar particles at high energies with fixed momentum transfers is studied. The study is done within the effective theory of quantum gravity based on quasi-potential equation. By using the modified perturbation theory, a systematic method is developed to find the leading eikonal scattering amplitudes together with corrections to them in the one-loop gravitational approximation. The relation is established and discussed between the solutions obtained by means of the operator and functional approaches applied to quasi-potential equation. The first non-leading corrections to the leading eikonal amplitude are found.
© The Author(s), 2019
