Bound of Casimir Effect by Holography

Rong-Xin Miao

doi:10.1103/xs4m-qjsb

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arXiv · 2412.04122

Bound of Casimir Effect by Holography

Rong-Xin Miao

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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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BibTeX RIS

Rong-Xin Miao. 2024-12-05. Bound of Casimir Effect by Holography. https://doi.org/10.1103/xs4m-qjsb

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