Holographic bound of Casimir effect in general dimensions

Abstract Recently, it has been proposed that holography imposes a universal lower bound on the Casimir effect for 3d BCFTs. This paper generalizes the discussions to higher dimensions. We find Einstein gravity, DGP gravity, and Gauss-Bonnet gravity sets a universal lower bound of the strip Casimir e...

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Main Author: Rong-Xin Miao
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP04(2025)023
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author Rong-Xin Miao
author_facet Rong-Xin Miao
author_sort Rong-Xin Miao
collection DOAJ
description Abstract Recently, it has been proposed that holography imposes a universal lower bound on the Casimir effect for 3d BCFTs. This paper generalizes the discussions to higher dimensions. We find Einstein gravity, DGP gravity, and Gauss-Bonnet gravity sets a universal lower bound of the strip Casimir effect in general dimensions. We verify the holographic bound by free theories and O(N) models in the ϵ expansions. We also derive the holographic bound of the Casimir effect for a wedge and confirm free theories obey it. It implies holography sets a lower bound of the Casimir effect for general boundary shapes, not limited to the strip. Finally, we briefly comment on the impact of mass and various generalizations and applications of our results.
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spelling doaj-art-ccfd8cbb6b644d11b1c49f91ccf423f02025-08-20T01:49:32ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025412610.1007/JHEP04(2025)023Holographic bound of Casimir effect in general dimensionsRong-Xin Miao0School of Physics and Astronomy, Sun Yat-Sen UniversityAbstract Recently, it has been proposed that holography imposes a universal lower bound on the Casimir effect for 3d BCFTs. This paper generalizes the discussions to higher dimensions. We find Einstein gravity, DGP gravity, and Gauss-Bonnet gravity sets a universal lower bound of the strip Casimir effect in general dimensions. We verify the holographic bound by free theories and O(N) models in the ϵ expansions. We also derive the holographic bound of the Casimir effect for a wedge and confirm free theories obey it. It implies holography sets a lower bound of the Casimir effect for general boundary shapes, not limited to the strip. Finally, we briefly comment on the impact of mass and various generalizations and applications of our results.https://doi.org/10.1007/JHEP04(2025)023AdS-CFT CorrespondenceClassical Theories of Gravity
spellingShingle Rong-Xin Miao
Holographic bound of Casimir effect in general dimensions
Journal of High Energy Physics
AdS-CFT Correspondence
Classical Theories of Gravity
title Holographic bound of Casimir effect in general dimensions
title_full Holographic bound of Casimir effect in general dimensions
title_fullStr Holographic bound of Casimir effect in general dimensions
title_full_unstemmed Holographic bound of Casimir effect in general dimensions
title_short Holographic bound of Casimir effect in general dimensions
title_sort holographic bound of casimir effect in general dimensions
topic AdS-CFT Correspondence
Classical Theories of Gravity
url https://doi.org/10.1007/JHEP04(2025)023
work_keys_str_mv AT rongxinmiao holographicboundofcasimireffectingeneraldimensions