论文标题
因果钻石的共形量子力学
Conformal quantum mechanics of causal diamonds
论文作者
论文摘要
结果表明，Minkowski时空中的一般径向保形杀伤向量可能与共形量子力学中的时间演化发生器有关。在这些形式的杀戮载体中，有一个类，可以将Minkowski时空的因果钻石映射到自己中。这种杀戮载体的流动描述了在因果钻石中具有有限寿命的加速观察者的世界线。静态钻石观察者的时间演变等效于由双曲线汉密尔顿人支配的保形量子力学的时间演变，仅覆盖了时间轴的一部分。这表明静态钻石观察者在Minkowski空间中惯性观察者的真空状态中感知的未温度可以从共形量子力学的两点函数的行为中获得。
It is shown that a general radial conformal Killing vector in Minkowski space-time can be associated to a generator of time evolution in conformal quantum mechanics. Among these conformal Killing vectors one finds a class which maps causal diamonds in Minkowski space-time into themselves. The flow of such Killing vectors describes worldlines of accelerated observers with a finite lifetime within the causal diamond. Time evolution of static diamond observers is equivalent to time evolution in conformal quantum mechanics governed by a hyperbolic Hamiltonian and covering only a segment of the time axis. This indicates that the Unruh temperature perceived by static diamond observers in the vacuum state of inertial observers in Minkowski space can be obtained from the behaviour of the two-point functions of conformal quantum mechanics.
