Bound of Casimir Effect by Holography

Fuente: arXiv
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Autore principale: Miao, Rong-Xin
Natura: Preprint
Pubblicazione: 2024
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author Miao, Rong-Xin
author_facet Miao, Rong-Xin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_04122
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bound of Casimir Effect by Holography
Miao, Rong-Xin
High Energy Physics - Theory
Other Condensed Matter
General Relativity and Quantum Cosmology
Quantum Physics
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.
title Bound of Casimir Effect by Holography
topic High Energy Physics - Theory
Other Condensed Matter
General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2412.04122