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  • Letter
  • Open Access

Bound of Casimir effect by holography

Rong-Xin Miao

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Phys. Rev. D 112, L081901 – Published 2 October, 2025

DOI: https://doi.org/10.1103/xs4m-qjsb

Abstract

Inspired by the Kovtun-Son-Starinet bound, we propose that holography imposes a lower bound on the Casimir effect. For simplicity, we focus on the Casimir effect between parallel planes for three-dimensional conformal field theories and briefly comment on the generalizations to other boundary shapes and higher dimensions. Remarkably, the ghost-free holographic models impose a universal lower bound on the Casimir effect. We verify the holographic bound by free theories, the Ising model, and O(N) models with N=2, 3 at critical points and prove it for the two-dimensional case. Remarkably, a general class of quantum field theories without conformal symmetries also obeys the holographic bound.

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Phys. Rev. D 112, L081901– Published 2 October, 2025
  • Received 19 December 2024
  • Accepted 10 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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