Cancellation of long-range forces in Einstein-Maxwell-dilaton system

TL;DR

This paper investigates how long-range forces cancel in the Einstein-Maxwell-Dilaton system, showing that the presence of the dilaton field modifies equilibrium conditions and leads to force cancellation demonstrated through Feynman diagrams.

Contribution

It introduces the effect of the dilaton field on force cancellation and derives new equilibrium conditions in the Einstein-Maxwell-Dilaton system.

Findings

Cancellation of $1/r^2$ potential demonstrated using Feynman diagrams.

Dilatonic field alters the classical equilibrium conditions.

Long-range force cancellation depends on the dilaton contribution.

Abstract

We examine cancellation of long-range forces in Einstein-Maxwell-Dilatonic system. Several conditions of the equilibrium of two charged masses in general relativity is found by many authors. These conditions are altered by taking account of dilatonic field. Under the new condition, we show cancellation of $1/r^2$ potential using Feynman diagrams.