Gravitational Field of a Charged Particle with a Field Mass in Three-Dimensional Electrodynamics

摘要

In three-dimensional electrodynamics in the Newtonian approximation the gravitational field of a charged particle with a field mass of classical origin has been investigated; the potential and the intensity of the gravitational field have been calculated, both taking the contribution of polarization of the fermion vacuum to the classical potential of the electric field into account and without taking it into account. It has been shown that taking the polarization of the vacuum into account, both with massive fermions in the vacuum loops and with massless fermions in the vacuum loops, does not alter the asymptotic behavior or the intensity of the gravitational field at large distances, which is evidence of the presence of gravitational confinement. The influence of the simplifications made here on the final results is discussed, as are also prospects for their improvement.