标题： 卡西米尔能量是如何下落的？ 二. 量子真空能量的引力加速度 显示英文标题

标题： How does Casimir energy fall? II. Gravitational acceleration of quantum vacuum energy

摘要： 已经证明，在至少有限的卡西米尔能量情况下，量子真空能量根据等效原理产生引力。这里我们通过考虑作用于无质量标量场上的半透明平行板（即δ函数势）进一步支持这一结论，这些板子位于由Rindler坐标定义的空间时间内（τ,x,y,ξ）中。在这种空间时间内固定的ξ代表均匀加速。 我们在固定的ξ值下计算由一个或两个这样的板组成的系统的受力情况。在Rindler坐标ξ很大的极限（小加速度）下，我们通过等效原理恢复弱引力的情况，并发现系统上的引力就是Mg，其中g是引力加速度，M是系统的总质量，包括每个板单独的Casimir能修正后的板的质量以及板之间的Casimir相互作用的能量。当δ函数势耦合趋于无穷时，这与之前的结果一致。 显示英文摘要

摘要： It has been demonstrated that quantum vacuum energy gravitates according to the equivalence principle, at least for the finite Casimir energies associated with perfectly conducting parallel plates. We here add further support to this conclusion by considering parallel semitransparent plates, that is, delta-function potentials, acting on a massless scalar field, in a spacetime defined by Rindler coordinates (tau,x,y,xi). Fixed xi in such a spacetime represents uniform acceleration. We calculate the force on systems consisting of one or two such plates at fixed values of xi. In the limit of large Rindler coordinate xi (small acceleration), we recover (via the equivalence principle) the situation of weak gravity, and find that the gravitational force on the system is just Mg, where g is the gravitational acceleration and M is the total mass of the system, consisting of the mass of the plates renormalized by the Casimir energy of each plate separately, plus the energy of the Casimir interaction between the plates. This reproduces the previous result in the limit as the coupling to the delta-function potential approaches infinity.