Casimir Effect for Quantum Field theory in Networks

Fuente: arXiv
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Auteurs principaux: Zhao, Tian-Ming, Miao, Rong-Xin
Format: Preprint
Publié: 2025
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author Zhao, Tian-Ming
Miao, Rong-Xin
author_facet Zhao, Tian-Ming
Miao, Rong-Xin
contents This paper studies quantum field theories defined in networks, which are the multi-branch generalizations of interface conformal field theory (ICFT). We propose a novel junction condition on the node and show that it is consistent with energy conservation in the sense that the total energy flow into the node is zero. As an application, we explore the Casimir effect on networks. Remarkably, the Casimir force on one edge can be changed from attractive to repulsive by adjusting the lengths of the other edges, providing a straightforward way to control the Casimir effect. We begin by discussing the Casimir effect for $(1+1)$-dimensional free massless scalars on a simple network. We then extend this discussion to various types of networks and higher dimensions. Finally, we offer brief comments on some open questions.
format Preprint
id arxiv_https___arxiv_org_abs_2506_20405
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Casimir Effect for Quantum Field theory in Networks
Zhao, Tian-Ming
Miao, Rong-Xin
Quantum Physics
Other Condensed Matter
High Energy Physics - Theory
This paper studies quantum field theories defined in networks, which are the multi-branch generalizations of interface conformal field theory (ICFT). We propose a novel junction condition on the node and show that it is consistent with energy conservation in the sense that the total energy flow into the node is zero. As an application, we explore the Casimir effect on networks. Remarkably, the Casimir force on one edge can be changed from attractive to repulsive by adjusting the lengths of the other edges, providing a straightforward way to control the Casimir effect. We begin by discussing the Casimir effect for $(1+1)$-dimensional free massless scalars on a simple network. We then extend this discussion to various types of networks and higher dimensions. Finally, we offer brief comments on some open questions.
title Casimir Effect for Quantum Field theory in Networks
topic Quantum Physics
Other Condensed Matter
High Energy Physics - Theory
url https://arxiv.org/abs/2506.20405