标题： 作用量与纠缠在引力和场论中的作用 显示英文标题

标题： Action and entanglement in gravity and field theory

摘要： 在非引力量子场论中，穿过一个表面的纠缠熵依赖于短距离正则化。 量子引力不应需要这种正则化，并且有猜想认为那里的纠缠熵总是由在连接表面上计算的黑洞熵公式给出。 我们表明，这些陈述在作用量层面有精确的经典对应。 具体来说，我们指出作用量可能具有非加性的虚部。 在引力中，后者由黑洞熵公式确定，而在非引力理论中，它是任意的。 从这些经典事实出发，通过启发式地应用作用量和波函数之间的关系，可以得出纠缠熵猜想。 显示英文摘要

摘要： In non-gravitational quantum field theory, the entanglement entropy across a surface depends on the short-distance regularization. Quantum gravity should not require such regularization, and it's been conjectured that the entanglement entropy there is always given by the black hole entropy formula evaluated on the entangling surface. We show that these statements have precise classical counterparts at the level of the action. Specifically, we point out that the action can have a non-additive imaginary part. In gravity, the latter is fixed by the black hole entropy formula, while in non-gravitating theories, it is arbitrary. From these classical facts, the entanglement entropy conjecture follows by heuristically applying the relation between actions and wavefunctions.