论文标题
加利利相对论麦克斯韦理论的新表述
New formulation of Galilean relativistic Maxwell theory
论文作者
论文摘要
在本文中，我们详细讨论了伽利略相对论麦克斯韦理论。我们首先提供了一组映射关系，这些关系是系统地得出的，这些关系连接了洛伦兹相对论和伽利略相对论表述中的协变量和逆向矢量。利用这张地图，我们构建了麦克斯韦相对论麦克斯韦理论的两个限制，从通常的麦克斯韦的理论中构建了违反和协变量的潜在形式主义的理论，这些形式主义现在是不同的实体。得出场方程并显示其内部一致性。然后，对协变量和逆向组件的电场和磁场进行了整个分析。讨论了双重性转换及其与增强对称性的联系，这揭示了丰富的结构。引入了扭曲二元性的概念。接下来，我们考虑规格对称性，构建noether电流并显示它们的壳保护。我们还讨论了Lagrangian不变的Shift Symmetry，现在相应的电流保守了相应的电流。最后，我们通过包括逆转和协变部门的来源来分析该理论。我们表明消息来源现在是避免壳的
In this paper, we discuss Galilean relativistic Maxwell theory in detail. We first provide a set of mapping relations, derived systematically, that connect the covariant and contravariant vectors in the Lorentz relativistic and Galilean relativistic formulations. Exploiting this map, we construct the two limits of Galilean relativistic Maxwell theory from usual Maxwell's theory in the potential formalism for both contravariant and covariant vectors which are now distinct entities. Field equations are derived and their internal consistency is shown. The entire analysis is then performed in terms of electric and magnetic fields for both covariant and contravariant components. Duality transformations and their connection with boost symmetry are discussed which reveal a rich structure. The notion of twisted duality is introduced. Next we consider gauge symmetry, construct Noether currents and show their on-shell conservation. We also discuss shift symmetry under which the Lagrangian is invariant, where the corresponding currents are now on-shell conserved. At the end we analyse the theory by including sources for both contravariant and covariant sectors. We show that sources are now off-shell conserved
