Casimir effect for quantum field theory in networks

IF 4.8 2区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

The European Physical Journal C Pub Date : 2025-09-20 DOI:10.1140/epjc/s10052-025-14781-y

Tian-Ming Zhao, Rong-Xin Miao

引用次数: 0

Abstract

This paper studies quantum field theories defined in networks, which are the multi-branch generalizations of interface conformal field theory. 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.

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网络中量子场论中的卡西米尔效应

本文研究了定义在网络中的量子场论，它是界面共形场论的多分支推广。我们在节点上提出了一个新的结条件，并证明了它与能量守恒是一致的，因为流入节点的总能量为零。作为应用，我们探讨了卡西米尔效应对网络的影响。值得注意的是，通过调整其他边的长度，一条边上的卡西米尔力可以从吸引变为排斥，这为控制卡西米尔效应提供了一种直接的方法。我们首先讨论一个简单网络上\((1+1)\)维自由无质量标量的卡西米尔效应。然后，我们将此讨论扩展到各种类型的网络和更高的维度。最后，我们对一些悬而未决的问题提供了简短的评论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

The European Physical Journal C 物理-物理：粒子与场物理

CiteScore

8.10

自引率

15.90%

发文量

1008

审稿时长

2-4 weeks

期刊介绍： Experimental Physics I: Accelerator Based High-Energy Physics Hadron and lepton collider physics Lepton-nucleon scattering High-energy nuclear reactions Standard model precision tests Search for new physics beyond the standard model Heavy flavour physics Neutrino properties Particle detector developments Computational methods and analysis tools Experimental Physics II: Astroparticle Physics Dark matter searches High-energy cosmic rays Double beta decay Long baseline neutrino experiments Neutrino astronomy Axions and other weakly interacting light particles Gravitational waves and observational cosmology Particle detector developments Computational methods and analysis tools Theoretical Physics I: Phenomenology of the Standard Model and Beyond Electroweak interactions Quantum chromo dynamics Heavy quark physics and quark flavour mixing Neutrino physics Phenomenology of astro- and cosmoparticle physics Meson spectroscopy and non-perturbative QCD Low-energy effective field theories Lattice field theory High temperature QCD and heavy ion physics Phenomenology of supersymmetric extensions of the SM Phenomenology of non-supersymmetric extensions of the SM Model building and alternative models of electroweak symmetry breaking Flavour physics beyond the SM Computational algorithms and tools...etc.