GRAVITATION AND VACUUM ENTANGLEMENT ENTROPY
GRAVITATION AND VACUUM ENTANGLEMENT ENTROPY
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引力和真空纠缠熵
DOI：
10.1142/s0218271812420060
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发表时间：
2012
影响因子：
2.2
通讯作者：
T. Jacobson
中科院分区：
文献类型：
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作者：
T. Jacobson
量子场的真空包含了相关的涨落。当限制在表面的一侧时，它们有一个巨大的纠缠熵，随着表面积的增加而增大。如果紫外线物理使这个熵是有限的，那么热力学论证就意味着引力的存在。也就是说，时空的因果结构必须是动态的，并受爱因斯坦方程的支配，牛顿常数与熵密度成反比。相反，引力的存在使纠缠熵变得有限。这种热力学推理是强大的，尽管缺乏对截止尺度下的动力学的详细描述，但它也有其局限性。特别是，我们不应该期望以这种方式理解对爱因斯坦引力的修正。
The vacuum of quantum fields contains correlated fluctuations. When restricted to one side of a surface these have a huge entropy of entanglement that scales with the surface area. If UV physics renders this entropy finite, then a thermodynamic argument implies the existence of gravity. That is, the causal structure of spacetime must be dynamical and governed by the Einstein equation with Newton's constant inversely proportional to the entropy density. Conversely, the existence of gravity makes the entanglement entropy finite. This thermodynamic reasoning is powerful despite the lack of a detailed description of the dynamics at the cutoff scale, but it has its limitations. In particular, we should not expect to understand corrections to Einstein gravity in this way.