Title: Classical electrodynamics and gauge symmetry of the X-boson Show Chinese title

Title: 经典电动力学与X玻色子的规范对称性

Abstract: In this paper we have obtained several new results concerning the X-boson, which is being considered recently as one of the main candidate of the dark matter particle content. The classical electrodynamics for the X-boson model was explored to understand its propagation in space-time. The field equations (Maxwell-type) and the corresponding wave equations were obtained. They indicate the dispersion relations of both a massive and massless particles. These results can be interpreted as a photon and the X-boson (with a mass of 17 MeV), respectively. The gauge symmetry and gauge transformations were discussed. A full model diagonalization was introduced to obtain a Maxwell sector added up to a Proca sector. After that, we have obtained the retarded Green functions which yield the inhomogeneous solutions of the wave equations for the X-boson fields. We have applied this solution to the charge point motion, and we transformed the potential solution to a quadrature problem. In particular, as an example, we have analyzed the point charge in a straight line uniform motion, where the corresponding electromagnetic charge were calculated. Show Chinese abstract

Abstract: 在本文中，我们获得了关于X玻色子的几个新结果，X玻色子最近被认为是最主要的暗物质粒子候选者之一。 对X玻色子模型的经典电动力学进行了研究，以理解其在时空中的传播。 得到了场方程（麦克斯韦型）和相应的波动方程。 它们表明了质量和无质量粒子的色散关系。 这些结果可以分别解释为光子和X玻色子（质量为17 MeV）。 讨论了规范对称性和规范变换。 引入了一个完整的模型对角化方法，以获得一个麦克斯韦部分加上一个普罗卡部分。 之后，我们得到了推迟的格林函数，这些函数给出了X玻色子场波动方程的非齐次解。 我们将这个解应用于点电荷运动，并将势能解转化为一个积分问题。 特别是，作为例子，我们分析了直线匀速运动的点电荷，其中计算了相应的电磁电荷。