论文标题
智能的记忆效应
Memory effects from holonomies
论文作者
论文摘要
我们基于GR的重力 - 电磁公式和地球偏差方程的概括，提供电磁和重力记忆效应的均匀处理。这使我们能够找到新的结果：在量规理论中，我们得出了相对论的校正，可观察到众所周知的踢记忆，以及可观察到的位移记忆的一般表达，通常在文献中被忽略。在GR中，我们发现相对论校正位移和踢记忆可观察物。在这两种理论中，我们都发现了新颖的径向记忆效应。接下来，我们表明，可以在渐近平坦的空间中的全息屏幕上，可以根据某些固体来制定电磁和重力记忆可观察物。在量规理论中，位移和踢记忆效应形成了哈密顿矢量场，它是由威尔逊循环产生的。在GR的一阶配方中，我们表明自然可以将自然分为翻译和洛伦兹部分。前者编码领先的和旋律的位移和踢记忆可观察物，而后者则重现了陀螺记忆效应。
We provide a uniform treatment of electromagnetic and gravitational memory effects, based on the gravito-electromagnetic formulation of GR and a generalization of the geodesic deviation equation. This allows us to find novel results: in gauge theory, we derive relativistic corrections to the well-known kick memory observable, and a general expression for the displacement memory observable, typically overlooked in the literature. In GR, we find relativistic corrections to displacement and kick memory observables. In both theories, we find novel radial memory effects. Next, we show that electromagnetic and gravitational memory observables can be formulated in terms of certain holonomies on a holographic screen in asymptotically flat spacetimes. In gauge theory, the displacement and kick memory effects form a Hamiltonian vector field which is canonically generated by a Wilson loop. In the first order formulation of GR, we show that the holonomy naturally splits into translational and Lorentz parts. While the former encodes the leading and subleading displacement and kick memory observables, the latter reproduces the gyroscopic memory effect.
