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In this work, we analyze the Casimir effect associated with a massive, non-minimally coupled scalar field in static, spherically symmetric black hole spacetimes arising in bumblebee gravity. Three distinct solutions are considered,…

广义相对论与量子宇宙学 · 物理学 2026-03-03 D. S. Cabral , A. A. Araújo Filho , A. F. Santos

A general, exact formula is derived for the expectation value of the electromagnetic energy density of an inhomogeneous absorbing and dispersive dielectric medium in thermal equilibrium, assuming that the medium is well approximated as a…

量子物理 · 物理学 2015-05-28 F. S. S. Rosa , D. A. R. Dalvit , P. W. Milonni

In the presence of an external field, the imposition of specific boundary conditions can lead to interesting new manifestations of the Casimir effect. In particular, it is shown here that even a single conducting plate may experience a…

量子物理 · 物理学 2009-11-10 Pervez Hoodbhoy

We study the Casimir problem as the limit of a conventional quantum field theory coupled to a smooth background. The Casimir energy diverges in the limit that the background forces the field to vanish on a surface. We show that this…

高能物理 - 理论 · 物理学 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , M. Scandurra , H. Weigel

We study the Casimir force on a single surface immersed in an inhomogeneous medium. Specifically we study the vacuum fluctuations of a scalar field with a spatially varying squared mass, $m^{2}+\lambda\Delta(x-a)+V(x)$, where $V$ is a…

高能物理 - 理论 · 物理学 2009-11-11 R. L. Jaffe , A. Scardicchio

We study the Casimir effect for scalar fields with general curvature coupling subject to mixed boundary conditions $(1+\beta_{m}n^{\mu}\partial_{\mu})\phi =0$ at $x=a_{m}$ on one ($m=1$) and two ($m=1,2$) parallel plates at a distance…

高能物理 - 理论 · 物理学 2008-11-26 A. Romeo , A. A. Saharian

We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

高能物理 - 理论 · 物理学 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

We explore two hypotheses. First, the possibility that the quantum vacuum energy density of the Casimir effect contributes to a (local) gravitational vacuum energy density. Second, the possibility that a change in the gravitational coupling…

高能物理 - 理论 · 物理学 2023-11-14 Benjamin Koch , Christian Käding , Mario Pitschmann , René Sedmik

The dielectric sphere has been an important test case for understanding and calculating the vacuum force of a dielectric body onto itself. Here we develop a method for computing this force in homogeneous spheres of arbitrary dielectric…

量子物理 · 物理学 2018-08-01 Yael Avni , Ulf Leonhardt

We calculate the Casimir energy at spherical cavities within a host made up of an arbitrary material described by a possibly dispersive and lossy dielectric response. To that end, we add to the coherent optical response a contribution that…

量子物理 · 物理学 2008-07-16 W. Luis Mochan , Carlos Villarreal-Lujan

The prototypical Casimir effect arises when a scalar field is confined between parallel Dirichlet boundaries. We study corrections to this when the boundaries themselves have apertures and edges. We consider several geometries: a single…

高能物理 - 理论 · 物理学 2011-11-02 Daniel Kabat , Dimitra Karabali , V. P. Nair

We derive a trace formula for the spectra of quantum mechanical systems in hyperbolic polygons which are the fundamental domains of discrete isometry groups acting in the two dimensional hyperboloid. Using this trace formula and the point…

高能物理 - 理论 · 物理学 2008-11-26 H. Ahmedov

The regularized total Casimir energy in spacetimes with boundaries is not in general equal to the integral of the regularized energy density. This paradoxical phenomenon is most transparently analyzed in the simple example of a massless…

量子物理 · 物理学 2007-05-23 Xinwei Kong , Finn Ravndal

In this paper, we consider the Casimir energy of massless scalar field which satisfy Dirichlet boundary condition on a spherical shell. Outside the shell, the spacetime is assumed to be described by the Schwarzschild metric, while inside…

广义相对论与量子宇宙学 · 物理学 2009-11-07 M. R. Setare , M. B. Altaie

Two thin conducting, electrically neutral, parallel plates forming an isolated system in vacuum exert attracting force on each other, whose origin is the quantum electrodynamical interaction. This theoretical hypothesis, known as Casimir…

高能物理 - 理论 · 物理学 2007-05-23 Andrzej Herdegen

The Casimir Effect is a physical manifestation of quantum fluctuations of the electromagnetic vacuum. When two metal plates are placed closely together, typically much less than a micron, the long wavelength modes between them are frozen…

应用物理 · 物理学 2018-10-23 Alexander Stange , Matthias Imboden , Josh Javor , Lawrence K. Barrett , David J. Bishop

We consider the quantization of a scalar kappa-deformed field up to the point of obtaining an expression for its vacuum energy. The expression is given by the half sum of the field frequencies, as in the non-deformed case, but with the…

高能物理 - 理论 · 物理学 2015-06-26 M. V. Cougo-Pinto , C. Farina , J. F. M. Mendes

It is known that the simply evaluated value of the zero point energy of quantum fields is extremely deviated from the observed value of dark energy density. In this paper, we consider whether the Casimir energy, which is the zero point…

高能物理 - 理论 · 物理学 2013-12-30 Jiro Matsumoto

We calculate the energy-momentum tensor due to electromagnetic vacuum fluctuations between two parallel hyperplanes in more than four dimensions, considering both metallic and MIT boundary conditions. Using the axial gauge, the problem can…

量子物理 · 物理学 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus

We study the Topological Casimir effect, in which extra vacuum energy emerges as a result of the topological features of the theory, rather than due to the conventional fluctuations of the physical propagating degrees of freedom. We compute…

高能物理 - 理论 · 物理学 2013-05-21 ChunJun Cao , Moos van Caspel , Ariel R. Zhitnitsky