We show that the presence of replica wormholes in the Euclidean path integral
of gravity leads to a non-perturbative violation of any global symmetry present
in the low-energy description of quantum gravity. Explicitly, we compute the
scattering probability between different charged states in several
low-dimensional models of quantum gravity and find a non-vanishing answer. This
suggests that the set of all charged states is typically over-complete, which
has drastic consequences for the fate of black hole remnants that could carry a
global symmetry charge. In the holographic context, we argue that the presence
of such a symmetry in the effective description of the bulk should appear on
the boundary as an emergent global symmetry after ensemble averaging.
Description
A violation of global symmetries from replica wormholes and the fate of black hole remnants
%0 Generic
%1 hsin2020violation
%A Hsin, Po-Shen
%A Iliesiu, Luca V.
%A Yang, Zhenbin
%D 2020
%K arxiv
%T A violation of global symmetries from replica wormholes and the fate of
black hole remnants
%U http://arxiv.org/abs/2011.09444
%X We show that the presence of replica wormholes in the Euclidean path integral
of gravity leads to a non-perturbative violation of any global symmetry present
in the low-energy description of quantum gravity. Explicitly, we compute the
scattering probability between different charged states in several
low-dimensional models of quantum gravity and find a non-vanishing answer. This
suggests that the set of all charged states is typically over-complete, which
has drastic consequences for the fate of black hole remnants that could carry a
global symmetry charge. In the holographic context, we argue that the presence
of such a symmetry in the effective description of the bulk should appear on
the boundary as an emergent global symmetry after ensemble averaging.
@misc{hsin2020violation,
abstract = {We show that the presence of replica wormholes in the Euclidean path integral
of gravity leads to a non-perturbative violation of any global symmetry present
in the low-energy description of quantum gravity. Explicitly, we compute the
scattering probability between different charged states in several
low-dimensional models of quantum gravity and find a non-vanishing answer. This
suggests that the set of all charged states is typically over-complete, which
has drastic consequences for the fate of black hole remnants that could carry a
global symmetry charge. In the holographic context, we argue that the presence
of such a symmetry in the effective description of the bulk should appear on
the boundary as an emergent global symmetry after ensemble averaging.},
added-at = {2020-11-21T00:04:59.000+0100},
author = {Hsin, Po-Shen and Iliesiu, Luca V. and Yang, Zhenbin},
biburl = {https://www.bibsonomy.org/bibtex/2cf8fc6cb5effabfa8dea2bd6cccc0eb2/nimaaj},
description = {A violation of global symmetries from replica wormholes and the fate of black hole remnants},
interhash = {1e769d4fe9d6b372e4753aa5379268df},
intrahash = {cf8fc6cb5effabfa8dea2bd6cccc0eb2},
keywords = {arxiv},
note = {cite arxiv:2011.09444Comment: 43 pages, 7 figures},
timestamp = {2020-11-21T00:04:59.000+0100},
title = {A violation of global symmetries from replica wormholes and the fate of
black hole remnants},
url = {http://arxiv.org/abs/2011.09444},
year = 2020
}