Green functions and propagation in the Bopp-Podolsky electrodynamics

关于点电荷在电磁 Bopp-Landé-Thomas-Podolsky 真空中沿恒定外加电场运动的辐射反作用研究

A study of the radiation-reaction on a point charge that moves along a constant applied electric field in an electromagnetic Bopp-Landé-Thomas-Podolsky vacuum

本文在 BLTP 电动力学框架下研究点电荷在恒定电场中的辐射反作用，证明其效应在小参数 $\varkappa$ 的三阶出现，并揭示初始阶段符合测试粒子理论、后期显著偏离的运动规律。

Self-interaction in the Bopp-Podolsky electrodynamics: Can the observable mass of a charged particle depend on its acceleration?

In this paper we obtain the expression for the self-force in the model with the Lagrangian containing additional terms, quadratic in Maxwell tensor derivatives (so-called Bopp-Podolsky electrodynamics). Features of this force are analyzed for various limiting cases. When a charged particle moves along straight line with a uniform acceleration, an explicit formula is found. In the framework of the considered model, an observable renormalized particle mass is shown to depend on its acceleration. This dependence allows, in principle, to extract experimentally a value of the particle bare mass.

点电荷在恒定电场作用下沿直线运动的辐射反应问题

Radiation-Reaction on the Straight-Line Motion of a Point Charge accelerated by a constant applied Electric Field in an Electromagnetic Bopp-Landé-Thomas-Podolsky vacuum

本文研究BLTP电动力学中点电荷在恒定电场作用下沿直线运动的辐射反应问题，揭示其在短时间内的物理合理性及长时间行为的非物理性。

Plasma-like Vacuum in Podolsky Regularized Classical Electrodynamics

We analyze wave propagation in the vacuum of Podolsky regularized electrodynamics. Two kinds of waves were found in the theory: the traditional non-dispersive waves of Maxwell electrodynamics, and a dispersive wave reminiscent of wave propagation in a collisionless plasma. Charged particle concentration was determined, and found to be huge in this vacuum. We interpret the results in terms of vacuum polarization effects induced in an otherwise classical theory.

Second gradient electromagnetostatics: electric point charge, electrostatic and magnetostatic dipoles

In this paper, we study the theory of second gradient electromagnetostatics as the static version of second gradient electrodynamics. The theory of second gradient electrodynamics is a linear generalization of higher order of classical Maxwell electrodynamics whose Lagrangian is both Lorentz and U(1)-gauge invariant. Second gradient electromagnetostatics is a gradient field theory with up to second-order derivatives of the electromagnetic field strengths in the Lagrangian. Moreover, it possesses a weak nonlocality in space and gives a regularization based on higher-order partial differential e…

Nonrelativistic theory of electroscalar field and Maxwell electrodynamics

In this work, a non-relativistic theory of the electroscalar field being an expansion of the classical Maxwell's electrodynamics is presented. Expansion of the classical electrodynamics is based on the hypothesis about an existing new 4-scalar potential complementary to the 4-vector electrodynamic potential. 4-scalar potential, from the viewpoint of the quantum field concept, describes massless scalar particles with a zero spin whose superposition realizes the Coulomb field. In a nonrelativistic approximation this hypothesis leads to the theory in which along with the electric and magnetic fie…