论文标题
保守的定律和轴的动态结构与光子耦合
Conserved laws and dynamical structure of axions coupled to photons
论文作者
论文摘要
在这项工作中，我们研究了由轴突 - 光子偶联描述的四维修饰轴轴电动力学理论的保守量和动力学结构的研究。在分析的第一部分中，我们采用协方差相空间方法来构建保守的电流，并得出与该理论仪表对称性相关的NOETHE电荷。我们使用Belinfante-Rosenfeld程序进一步得出了改进的能量量张量，这使我们获得了能量，动量和能量通量密度的表达式。此后，借助Faddeev-Jackiw的哈密顿还原形式主义，我们获得了动态变量的相关基本支架结构以及确定量子过渡幅度的功能度量。我们还确认，修饰的轴支电动力学每个空间点具有三个物理自由度。此外，使用此符号框架，我们直接从相应的前胶质矩阵的零模型中产生量规变换和约束的结构。
In this work, we carry out a study of the conserved quantities and dynamical structure of the four-dimensional modified axion electrodynamics theory described by the axion-photon coupling. In the first part of the analysis, we employ the covariant phase space method to construct the conserved currents and to derive the Noether charges associated with the gauge symmetry of the theory. We further derive the improved energy-momentum tensor using the Belinfante-Rosenfeld procedure, which leads us to the expressions for the energy, momentum, and energy flux densities. Thereafter, with the help of Faddeev-Jackiw's Hamiltonian reduction formalism, we obtain the relevant fundamental brackets structure for the dynamic variables and the functional measure for determining the quantum transition amplitude. We also confirm that modified axion electrodynamics has three physical degrees of freedom per space point. Moreover, using this symplectic framework, we yield the gauge transformations and the structure of the constraints directly from the zero-modes of the corresponding presymplectic matrix.
