论文标题
在相对熵和复制虫洞中违反全球对称性的签名
Signatures of global symmetry violation in relative entropies and replica wormholes
论文作者
论文摘要
人们普遍认为，在接收量子黑洞的理论中不存在确切的全球对称性。在这里，我们提出了一种通过使用某些相对熵在黑洞的鹰辐射中量化全球对称性侵犯程度的方法。尽管我们认为对全球对称性的违规行为是非扰动效果，但它们仍然给出了$ \ natercal {o}（1）$在页面时间之后对相对熵的贡献。此外，使用“岛”公式，可以在半古典引力中计算这些相对熵，我们以明确的例子进行了证明。这些公式给出了相当精确的操作意识，即在争夺时间后将丢失进入旧黑洞的全球指控将丢失。 此处考虑的相对熵也可以使用复制技巧来计算。在Integer Replica索引中，违反全球对称效应的效果表现为流过复制虫洞的电荷。
It is widely believed that exact global symmetries do not exist in theories that admit quantum black holes. Here we propose a way to quantify the degree of global symmetry violation in the Hawking radiation of a black hole by using certain relative entropies. While the violations of global symmetry that we consider are non-perturbative effects, they nevertheless give $\mathcal{O}(1)$ contributions to the relative entropy after the Page time. Furthermore, using "island" formulas, these relative entropies can be computed within semi-classical gravity, which we demonstrate with explicit examples. These formulas give a rather precise operational sense to the statement that a global charge thrown into an old black hole will be lost after a scrambling time. The relative entropies considered here may also be computed using a replica trick. At integer replica index, the global symmetry violating effects manifest themselves as charge flowing through the replica wormhole.
