论文标题
BOPP-Podolsky电动力学中的绿色功能和传播
Green functions and propagation in the Bopp-Podolsky electrodynamics
论文作者
论文摘要
在本文中，我们研究了所谓的BOPP-Podolsky电动力学。 BOPP-Podolsky电动力学是一种典型的梯度场理论，其空间和时间上的非局部性较弱。 Bopp-Podolsky电动力学是麦克斯韦电动力学的洛伦兹和规格不变的概括。我们推导了智障绿色功能，智障绿色功能的第一衍生物，智障电位，智障的电磁场强度，广义的Lienard-Wiechert电位以及相应的电磁场在BoppPPodolsky型电动力学框架中的三个，两，两个和一个空间尺度的框架。我们研究了这些电磁场在光锥附近的行为。在BOPP-Podolsky的电动力学中，延迟的绿色功能及其第一个衍生物在正向光锥体内部显示出快速降低的振荡。
In this paper, we investigate the so-called Bopp-Podolsky electrodynamics. The Bopp-Podolsky electrodynamics is a prototypical gradient field theory with weak nonlocality in space and time. The Bopp-Podolsky electrodynamics is a Lorentz and gauge invariant generalization of the Maxwell electrodynamics. We derive the retarded Green functions, first derivatives of the retarded Green functions, retarded potentials, retarded electromagnetic field strengths, generalized Lienard-Wiechert potentials and the corresponding electromagnetic field strengths in the framework of the Bopp-Podolsky electrodynamics for three, two and one spatial dimensions. We investigate the behaviour of these electromagnetic fields in the neighbourhood of the light cone. In the Bopp-Podolsky electrodynamics, the retarded Green functions and their first derivatives show fast decreasing oscillations inside the forward light cone.
