%0 Generic %1 chen2020signatures %A Chen, Yiming %A Lin, Henry W. %D 2020 %K arxiv %T Signatures of global symmetry violation in relative entropies and replica wormholes %U http://arxiv.org/abs/2011.06005 %X 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 $O(1)$ 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.

@misc{chen2020signatures, abstract = {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.}, added-at = {2020-11-21T00:19:46.000+0100}, author = {Chen, Yiming and Lin, Henry W.}, biburl = {https://www.bibsonomy.org/bibtex/2134cd38585411769cd143f5097e08713/nimaaj}, description = {Signatures of global symmetry violation in relative entropies and replica wormholes}, interhash = {a0643610fa360e6c62d7403e18494527}, intrahash = {134cd38585411769cd143f5097e08713}, keywords = {arxiv}, note = {cite arxiv:2011.06005Comment: 32 pages, 9 figures}, timestamp = {2020-11-21T00:19:46.000+0100}, title = {Signatures of global symmetry violation in relative entropies and replica wormholes}, url = {http://arxiv.org/abs/2011.06005}, year = 2020 }