论文标题
散装粒子的位置和动量算子
Position and momentum operators for a moving particle in bulk
论文作者
论文摘要
在本文中，我们探讨了如何描述双形条磁场理论（CFTS）中的大量移动粒子。该问题的一个方面是构建移动粒子的双重状态。另一方面，应该找到与粒子关联的相应运算符。粒子的动力学，即测量方程，可以作为具有规范变量的哈密顿系统配方。我们论文的成就是构建与规范变量相对应的双CFT状态和操作员。操作员的期望值给出了测量线的预期解决方案，量子换向器将经典的泊松支架降低到散装重力耦合中的领先顺序。我们的工作提供了一个框架，以了解双CFT中的地球方程，即引力吸引力。
In this paper we explore how to describe a bulk moving particle in the dual conformal field theories (CFTs). One aspect of this problem is to construct the dual state of the moving particle. On the other hand one should find the corresponding operators associated with the particle. The dynamics of the particle, i.e., the geodesic equation, can be formulated as a Hamiltonian system with canonical variables. The achievements of our paper are to construct the dual CFT states and the operators corresponding to the canonical variables. The expectation values of the operators give the expected solutions of the geodesic line, and the quantum commutators reduce to the classical Poisson brackets to leading order in the bulk gravitational coupling. Our work provides a framework to understand the geodesic equation, that is gravitational attraction, in the dual CFTs.
