Singularity-free interaction in dilaton-Maxwell electrodynamics

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 singularity-free everywhere; it vanishes at short distances and demonstrates Coulomb behavior far 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.

The Symmetries and the General Harmonic Solution to Equations of Maxwell Electrodynamics with an Axion

“…A similar correspondence between stationary vacuum GR and the electro/magnetostatic sector of Maxwell's electrodynamics with a dilaton was established in [8].…”

A General Harmonic Solution in Dilaton Electrodynamics: An Exact Expression for the Fields and the Generalized Lorentz Force

“…The methods developed in this article can be applied to construct soliton solutions in dilaton-Maxwell electrodynamics (see [9]) with an appropriately selected potential. Interesting results related to the construction and study of kink-type solitons in other theories can be found, for example, in [10], [11].…”

Least Action Principle for Lorentz Force in Dilaton-Maxwell Electrodynamics

“…(22) it follows that A 0 → Q e /r and φ → Q d /r, if r → ∞). For example, in the analytically simplest case with b = 0 (which is closest to the model considered in [10]), one obtains the following explicit form of the potential energy . We hope to further study the respective effects in the upcoming publication.…”

“…In [9] it was shown that this symmetry extends to the symmetry group SL(2, R) in the electro(magneto)static case in which DME is dual to stationary General Relativity in vacuum (this correspondence between the theories is achieved at σ = +1). Then, the dilatation-invariant dynamics of a test particle in the DME background fields was developed in [10]. There it has been postulated that the trajectory x µ = x µ (s) of test particle of mass m and charge n is determined by the modified Lorentz force as…”