In this paper we consider some physical phenomena in the vicinity of a conducting plate in a non-minimal Lorentz-violating scenario in 3 + 1 dimensions. We consider a model where the dynamics of the abelian gauge field is given by the standard Maxwell Lagrangian added by a Lorentz symmetry breaking term with the presence of higher order derivatives in the gauge field. The Lorentz symmetry breaking is due to the presence of a single background vector dλ and we perform the calculations perturbatively up to first order in dλ. We obtain the propagator for the gauge field in the presence of a mirror and the interaction force between the mirror and a point-like electric charge, as well as the interaction force between the mirror and an electric dipole. We show that, on the contrary to what happens in a minimal Lorentz-violating scenario with one single background field (L.H.C. Borges, F.A. Barone, Eur. Phys. J. C 693, 77, 2017), the image method is not valid in the model that we consider in this paper. As a consequence, the symmetry of spatial reflection on the mirror is broken. We also investigate the emergence of a torque in a system composed by a mirror and a point-like electric charge, placed at a fixed distance apart each other. The results obtained in this work have no counterpart in the Maxwell electrodynamics and were not verified in any Lorentz-violating scenario previously.

中文翻译：

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非最小洛伦兹违反情形中完美导电板附近的新效应

在本文中，我们在 3 + 1 维的非最小洛伦兹违反场景中考虑了导电板附近的一些物理现象。我们考虑一个模型，其中阿贝尔规范场的动力学由标准麦克斯韦拉格朗日给出，加上洛伦兹对称破缺项，规范场中存在高阶导数。洛伦兹对称性破缺是由于单个背景向量 dλ 的存在，我们对 dλ 中的一阶微扰进行计算。我们获得了存在镜子时规范场的传播子和镜子与点状电荷之间的相互作用力，以及镜子与电偶极子之间的相互作用力。我们表明，与在具有单个背景场的最小洛伦兹违反场景中发生的情况相反 (LHC Borges, FA Barone, Eur. Phys. J. C 693, 77, 2017)，图像方法在我们的模型中无效在本文中考虑。结果，镜子上空间反射的对称性被打破。我们还研究了在由镜子和点状电荷组成的系统中扭矩的出现，它们彼此相隔固定距离。在这项工作中获得的结果在麦克斯韦电动力学中没有对应物，并且之前没有在任何洛伦兹违反场景中得到验证。我们还研究了在由镜子和点状电荷组成的系统中扭矩的出现，它们彼此相隔固定距离。在这项工作中获得的结果在麦克斯韦电动力学中没有对应物，并且之前没有在任何洛伦兹违反场景中得到验证。我们还研究了在由镜子和点状电荷组成的系统中扭矩的出现，它们彼此相隔固定距离。在这项工作中获得的结果在麦克斯韦电动力学中没有对应物，并且之前没有在任何洛伦兹违反场景中得到验证。