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The influence of the gravity acceleration on the regularized energy-momentum tensor of the quantized electromagnetic field between two plane parallel conducting plates is derived. A perturbative expansion, to first order in the constant…

High Energy Physics - Theory · Physics 2008-11-26 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Luigi Rosa

In this paper, we derive the formula for the Casimir interaction energy between a sphere and a plate in $(D+1)$-dimensional Minkowski spacetime. It is assumed that the scalar field satisfies the Dirichlet or Neumann boundary conditions on…

High Energy Physics - Theory · Physics 2015-06-18 L. P. Teo

It has been demonstrated, using variational methods, that quantum vacuum energy gravitates according to the equivalence principle, at least for the finite Casimir energies associated with perfectly conducting parallel plates. This…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A Milton , Stephen A Fulling , Prachi Parashar , August Romeo , K V Shajesh , Jeffrey A Wagner

The stress tensor for the quantized electromagnetic field is calculated in the region between a pair of dispersive, dielectric half-spaces. This generalizes the stress tensor for the Casimir energy to the case where the boundaries have…

Quantum Physics · Physics 2014-11-18 V. Sopova , L. H. Ford

We apply a perturbative approach to evaluate the Casimir energy for a massless real scalar field in 3+1 dimensions, subject to Dirichlet boundary conditions on two surfaces. One of the surfaces is assumed to be flat, while the other…

High Energy Physics - Theory · Physics 2015-06-11 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

The influence of the gravity acceleration on the regularized energy-momentum tensor of the quantized electromagnetic field between two plane parallel conducting plates is derived. We use Fermi coordinates and work to first order in the…

High Energy Physics - Theory · Physics 2014-11-18 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Luigi Rosa

Vacuum energy density and stresses are investigated for a scalar field with general curvature coupling parameter in (D+1)-dimensional de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions. The…

High Energy Physics - Theory · Physics 2009-04-24 A. A. Saharian

The Casimir force between macroscopic bodies depends strongly on their shape and orientation. To study this geometry dependence in the case of two deformed metal plates, we use a path integral quantization of the electromagnetic field which…

Statistical Mechanics · Physics 2009-11-07 Thorsten Emig , Andreas Hanke , Ramin Golestanian , Mehran Kardar

Casimir effect in most general terms may be understood as a backreaction of a quantum system causing an adiabatic change of the external conditions under which it is placed. This paper is the second installment of a work scrutinizing this…

High Energy Physics - Theory · Physics 2009-11-11 Andrzej Herdegen

We investigate the combined effects of boundaries and topology on the vacuum expectation values (VEVs) of the charge and current densities for a massive 2D fermionic field confined on a conical ring threaded by a magnetic flux. Different…

High Energy Physics - Theory · Physics 2020-04-01 S. Bellucci , I. Brevik , A. A. Saharian , H. G. Sargsyan

The Casimir force between two parallel thick plates, one perfectly dielectric, the other purely magnetic, has been calculated long ago by Boyer [T. H. Boyer, Phys. Rev. A {\bf 9}, 2078 (1974)]. Its most characteristic property is that it is…

Quantum Physics · Physics 2018-08-15 Johan S. Høye , Iver Brevik

The original Casimir effect results from the difference in the vacuum energies of the electromagnetic field, between that in a region of space with boundary conditions and that in the same region without boundary conditions. In this paper…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daniel Muller , Helio V. Fagundes

According to the experimentally observed theory of the static Casimir effect, two metal, uncharged, conductive and flat plates attract each other in vacuum >.Herein, equations of motion of the plates which are influenced by Casimir…

General Physics · Physics 2007-05-23 Mohammad Mansouryar

The Casimir energy is evaluated for massless scalar fields under Dirichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on one and two infinite parallel plates moving by…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , R. S. Davtyan , A. H. Yeranyan

Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir…

High Energy Physics - Theory · Physics 2016-11-09 Kimball A. Milton

Several years ago we demonstrated that the Casimir energy for perfectly reflecting and imperfectly reflecting parallel plates gravitated normally, that is, obeyed the equivalence principle. At that time the divergences in the theory were…

High Energy Physics - Theory · Physics 2024-04-08 K. A. Milton , K. V. Shajesh , S. A. Fulling , Prachi Parashar

In this paper the quantum vacuum energies induced by massive fluctuations of one real scalar field on a configuration of two partially transparent plates are analysed. The physical properties of the infinitely thin plates are characterized…

High Energy Physics - Theory · Physics 2013-06-17 Jose M. Munoz-Castaneda , J. Mateos Guilarte , A. Moreno Mosquera

Analytical arguments suggest that the Casimir energy in 2+1 dimensions for gauge theories exponentially decays with the distance between the boundaries. The phenomenon has also been observed by non-perturbative numerical simulations. The…

High Energy Physics - Theory · Physics 2025-01-31 Manuel Asorey , Fernando Ezquerro , Miguel Pardina

In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. I investigate the case of a scalar field that satisfies Dirichlet or mixed…

High Energy Physics - Theory · Physics 2020-12-02 Andrea Erdas

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…

Quantum Physics · Physics 2009-11-10 Pervez Hoodbhoy