Quantum corrected gravitational potential beyond monopole-monopole interactions

TL;DR

This paper explores quantum corrections to gravitational potentials involving spin and velocity, extending beyond simple monopole interactions, and compares these with electromagnetic cases, using form factors and non-perturbative quantum gravity models.

Contribution

It introduces a method to compute quantum-corrected gravitational potentials with spin and velocity dependence using form factors, including non-perturbative quantum gravity effects.

Findings

Quantum corrections modify gravitational potentials with spin and velocity effects.

Comparison with electromagnetic potentials reveals similarities and differences.

Cancellation of Newtonian singularity is analyzed beyond monopole-monopole interactions.

Abstract

We investigate spin- and velocity-dependent contributions to the gravitational inter-particle potential. The methodology adopted here is based on the expansion of the effective action in terms of form factors encoding quantum corrections. Restricting ourselves to corrections up to the level of the graviton propagator, we compute, in terms of general form factors, the non-relativistic gravitational potential associated with the scattering of spin-0 and -1/2 particles. We discuss comparative aspects concerning different types of scattered particles and we also establish some comparisons with the case of electromagnetic potentials. Moreover, we apply our results to explicit examples of form factors based on non-perturbative approaches for quantum gravity. Finally, the cancellation of Newtonian singularity is analysed in the presence of terms beyond the monopole-monopole sector.