Interparticle Potential up to Next-to-leading Order for Gravitational, Electrical, and Dilatonic Forces

TL;DR

This paper calculates next-to-leading order long-range forces in Einstein-Maxwell-dilaton systems using a semiclassical approach, providing insights into force interactions and equilibrium conditions for charged masses.

Contribution

It introduces a semiclassical method to compute higher-order interparticle potentials in gravitational, electromagnetic, and dilatonic systems, extending previous leading-order analyses.

Findings

Derived next-to-leading order force expressions

Established conditions for equilibrium of charged masses

Validated the semiclassical approach for systems with large mass disparities

Abstract

Long-range forces up to next-to-leading order are computed in the framework of the Einstein-Maxwell-dilaton system by means of a semiclassical approach to gravity. As has been recently shown, this approach is effective if one of the masses under consideration is significantly greater than all the energies involved in the system. Further, we obtain the condition for the equilibrium of charged masses in the system.