Singularity-free interaction in dilaton-Maxwell electrodynamics

TL;DR

This paper demonstrates a dilaton-Maxwell theory where the interaction remains regular everywhere, exhibits asymptotic freedom at short distances, and behaves like a Coulomb potential at large distances, with soliton-like sources.

Contribution

It introduces a singularity-free interaction model in dilaton-Maxwell electrodynamics with novel properties such as regularity and asymptotic freedom.

Findings

Interaction is regular everywhere

Theory is asymptotically free at short distances

Sources behave like finite-energy solitons

Abstract

An effective potential is created for the dynamics of a test particle, which preserves dilatation symmetry for nonlinear static dilaton-Maxwell background. It is found that the central interaction in this theory is regular everywhere, and that the theory is asymptotically free at short distances and that it has a Coulomb properties at great distances from the source. It is shown that static and spherically symmetric source, behaves like a soliton: it has the finite energy characteristics that are inversely proportional to the dilaton-Maxwell coupling constant.