2023/12/01 by Shreya Shrivastava, Shrivastava, Shreya
Physics and Astronomy · #81V17 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2312.00603
openalex publication_date 2023/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the on-shell scattering amplitudes in quantum gravity for high-energy collisions in the eikonal approximation. We first evaluate the n-loop 2-particle scattering amplitude in the high energy and low momentum transfer limit. We do so in a symmetrized manner by finding the contributions of each of the particle worldines to the scattering amplitude and gluing them together via the n intermediate particle exchanges. In this limit on applying the eikonal approximation and summing over all n-loop Feynman diagrams we obtain a closed form for the 2 particle scattering amplitude. Finally, we extend this approach to obtain a generalized eikonal approximation for N-particle scattering at high energies and small momentum transfers. The generalised form of the scattering amplitude can then be used to evaluate the bound states of the system.