论文标题
在现场源和材料边界的存在下，麦克斯韦 - 切尔尼 - 锡象动力学的高阶衍生物延伸
Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries
论文作者
论文摘要
在本文中，我们考虑了具有高阶衍生物项的平面电动力学获得的一些新的经典效应。该模型可以解释为具有高阶衍生物的$ 3D $ MAXWELL-CHERN-CHERN-SIMONS的延伸。我们考虑使用固定的现场来源的设置，描述了点状电荷和迪拉克点。我们还使用导电线的存在调查了这一模型（在$ 3D $尺寸中，相当于$ 4D $尺寸的导电板）。在这种情况下，我们计算量规场的传播器以及导电线与点状电荷之间的相互作用力，以及导电线和DIRAC点之间的力，这是涡流场溶液的源。结果表明，无论如何，图像方法无效。我们还将沿纸张获得的结果与用标准的麦克斯韦 - 切尔尼·塞米孔电动力学获得的相应结果进行了比较[1]。
In this paper we consider some new classical effects obtained for a planar electrodynamics with the presence of a higher order derivatives term. The model can be interpreted as a kind of extension for the $3d$ Maxwell-Chern-Simons electrodynamics with higher order derivatives. We consider setups with stationary field sources describing point-like charges and Dirac points. We also investigate this model with the presence of a conducting line (in $3d$ dimensions, it is the equivalent of a conducting plate in $4d$ dimensions). In this case we calculate the propagator for the gauge field and the interaction force between the conducting line and a point-like charge, as well as the force between the conducting line and a Dirac point, the source for vortex field solutions. It is shown that the image method is not valid in any case. We also compare the obtained results along the paper with the corresponding ones obtained with the standard Maxwell-Chern-Simons electrodynamics [1].
