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Two perfectly conducting, infinite parallel plates will restrict the electromagnetic vacuum, producing an attractive force. This phenomenon is known as the Casimir effect. Here we use electromagnetic field correlators to define the local…

Quantum Physics · Physics 2023-12-05 Matthew J. Gorban , William D. Julius , Gerald B. Cleaver

A general calculation of Casimir energies --in an arbitrary number of dimensions-- for massless quantized fields in spherically symmetric cavities is carried out. All the most common situations, including scalar and spinor fields, the…

High Energy Physics - Theory · Physics 2008-11-26 Guido Cognola , Emilio Elizalde , Klaus Kirsten

We introduce a general, simple and effective method of evaluating the zero point energy of a quantum field under the influence of arbitrary boundary conditions imposed on the field on flat surfaces perpendicular to a chosen spatial…

Quantum Physics · Physics 2007-05-23 F. C. Santos , A. C. Tort

We re-evaluate the zero point Casimir energy for the case of a massive scalar field in $\mathbf{R}^{1}\times\mathbf{S}^{3}$ space, allowing also for deviations from the standard conformal value $\xi =1/6$, by means of zero temperature zeta…

High Energy Physics - Theory · Physics 2007-05-23 E Elizalde , A C Tort

We develop an exact method for computing the Casimir energy between arbitrary compact objects, either dielectrics or perfect conductors. The energy is obtained as an interaction between multipoles, generated by quantum current fluctuations.…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

We calculate the gravitational self-energy of vacuum quantum field fluctuations using a Casimir approach. We find that the Casimir gravitational self-energy density can account for the measured dark energy density when the SUSY-breaking…

High Energy Physics - Theory · Physics 2007-05-23 Allan Rosencwaig

We re-evaluate the zero point Casimir energy for the case of a massive scalar field in $\mathbf{R}^{1}\times\mathbf{S}^{3}$ space, allowing also for deviations from the standard conformal value $\xi =1/6$, by means of zero temperature zeta…

High Energy Physics - Theory · Physics 2009-11-10 E. Elizalde , A. C. Tort

We determine the effect of Lorentz invariance violation in the vacuum energy and stress between two parallel plates separated by a distance $L$, in the presence of a massive real scalar field. We parametrize the Lorentz-violation in terms…

High Energy Physics - Theory · Physics 2020-07-06 C. A. Escobar , A. Martín-Ruiz , O. J. Franca , Marcos A. G. Garcia

The Casimir effect is known to be induced from photon fields confined by a small volume, and also its fermionic counterpart has been predicted in a wide range of quantum systems. Here, we investigate what types of Casimir effects can occur…

High Energy Physics - Phenomenology · Physics 2024-08-01 Daisuke Fujii , Katsumasa Nakayama , Kei Suzuki

We consider the Casimir effect for quantized massive scalar field with non-conformal coupling $\xi$ in a spacetime of wormhole whose throat is rounded by a spherical shell. In the framework of zeta-regularization approach we calculate a…

High Energy Physics - Theory · Physics 2007-05-23 Artem R. Khabibullin , Nail R. Khusnutdinov , Sergey V. Sushkov

Recent work on non proper-gauge degrees of freedom in the context of the Casimir effect is reviewed. In his original paper, Casimir starts by pointing out that, when the electromagnetic field is confined between two perfectly conducting…

High Energy Physics - Theory · Physics 2020-01-01 Glenn Barnich , Martin Bonte

Casimir energy is calculated in the 5D warped system. It is compared with the flat one. The position/ momentum propagator is exploited. A new regularization, called {\it sphere lattice regularization}, is introduced. It is a direct…

High Energy Physics - Theory · Physics 2008-11-26 Shoichi Ichinose

Currently, the discussions and investigations for the vacuum energy is drawing great both theoretical and experimental attention. The vacuum states of variety of fields, subject to special boundary conditions, may contribute to non-trivial…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Jing Wang

Within the framework of the (3+1)-dimensional Lorentz-violating extended electrodynamics including the CPT-odd Chern-Simons term, we consider the electromagnetic field between the two parallel perfectly conducting plates. We find the…

High Energy Physics - Theory · Physics 2010-04-06 O. G. Kharlanov , V. Ch. Zhukovsky

In this short paper we make use of the recent covariant extension of the generalised uncertainty principle to study the corrections to the vacuum energy of the simplest scalar quantum field theory. We then calculate the modifications to the…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Akshat Pandey

The effect of a slowly rotating mass on a forced harmonic oscillator with two degrees of freedom is studied in the weak field approximation. It is found that according to the general theory of relativity there is a shift in the resonat…

Astrophysics · Physics 2009-11-10 Babur M. Mirza

The vacuum expectation value of the energy-momentum tensor and the Casimir forces are investigated for a massive scalar field with an arbitrary curvature coupling parameter in the geometry of two parallel plates, on the background of de…

High Energy Physics - Theory · Physics 2011-12-01 A. A. Saharian

This work investigates the thermal Casimir effect associated with a massive spinor field defined on a four-dimensional flat space with a circularly compactified spatial dimension whose periodicity is oriented along a vector in $xy$-plane.…

High Energy Physics - Theory · Physics 2025-09-03 Joás Venâncio , Lameque Filho , Herondy Mota , Azadeh Mohammadi

In the present study, the zeroth- and first-order radiative correction of the Casimir energy for massive and massless scalar fields, confined with mixed boundary conditions (Dirichlet- Neumann) between two parallel plates in $\phi^4$…

High Energy Physics - Theory · Physics 2019-12-18 M. A. Valuyan

The Casimir effect is one of the most remarkable consequences of the non-zero vacuum energy predicted by quantum field theory. In this paper we use a local approach to study the Lorentz violation effects of the minimal standard model…

High Energy Physics - Theory · Physics 2017-02-22 A. Martín-Ruiz , C. A. Escobar