%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 }