We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition we present multi-boundary partition functions and matter correlation functions for such a setting. We compute the complexity using a modified replica trick corresponding to the ``quenched geodesic length'' in JT gravity. The late time behaviour of complexity shows a saturation to a constant value of order eS0 following a period of linear growth. Furthermore, we show that our approach leads to an improved result for the variance of complexity, namely it being time-independent at late times. We conclude by commenting on the introduction of dynamical end-of-the-world branes.
Description
Complexity via replica trick | Journal of High Energy Physics
%0 Journal Article
%1 Alishahiha2022
%A Alishahiha, Mohsen
%A Banerjee, Souvik
%A Kames-King, Joshua
%D 2022
%J J. High Energy Phys.
%K a
%N 8
%P 181
%R 10.1007/JHEP08(2022)181
%T Complexity via replica trick
%U https://doi.org/10.1007/JHEP08(2022)181
%V 2022
%X We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition we present multi-boundary partition functions and matter correlation functions for such a setting. We compute the complexity using a modified replica trick corresponding to the ``quenched geodesic length'' in JT gravity. The late time behaviour of complexity shows a saturation to a constant value of order eS0 following a period of linear growth. Furthermore, we show that our approach leads to an improved result for the variance of complexity, namely it being time-independent at late times. We conclude by commenting on the introduction of dynamical end-of-the-world branes.
@article{Alishahiha2022,
abstract = {We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition we present multi-boundary partition functions and matter correlation functions for such a setting. We compute the complexity using a modified replica trick corresponding to the ``quenched geodesic length'' in JT gravity. The late time behaviour of complexity shows a saturation to a constant value of order eS0 following a period of linear growth. Furthermore, we show that our approach leads to an improved result for the variance of complexity, namely it being time-independent at late times. We conclude by commenting on the introduction of dynamical end-of-the-world branes.},
added-at = {2023-11-22T14:59:37.000+0100},
author = {Alishahiha, Mohsen and Banerjee, Souvik and Kames-King, Joshua},
biburl = {https://www.bibsonomy.org/bibtex/2c779676526d24b873c0f186ede215921/ctqmat},
day = 18,
description = {Complexity via replica trick | Journal of High Energy Physics},
doi = {10.1007/JHEP08(2022)181},
interhash = {d34ca8fb94750ee11438ec9c11317428},
intrahash = {c779676526d24b873c0f186ede215921},
issn = {1029-8479},
journal = {J. High Energy Phys.},
keywords = {a},
month = {08},
number = 8,
pages = 181,
timestamp = {2023-11-22T14:59:37.000+0100},
title = {Complexity via replica trick},
url = {https://doi.org/10.1007/JHEP08(2022)181},
volume = 2022,
year = 2022
}