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The Casimir stress on cylinderical shell in de Sitter background for massless scalar field satisfying Dirichlet boundary conditions on the cylinder is calculated. The metric is written in conformally flat form to make maximum use of the…

High Energy Physics - Theory · Physics 2009-11-07 M. R. Setare

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

We investigate the fermionic condensate and the vacuum expectation values of the energy-momentum tensor for a massive spinor field in de Sitter spacetime with spatial topology $\mathrm{R}^{p}\times (\mathrm{S}^{1})^{q}$. Both cases of…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian

Vacuum energy density and stresses are investigated for a scalar field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions and in anti-de Sitter spacetime with two parallel branes. On the branes the…

High Energy Physics - Theory · Physics 2012-10-01 A. A. Saharian

Here, we study a quantum fermion field in rigid rotation at finite temperature on anti-de Sitter space. We assume that the rotation rate $\Omega$ is smaller than the inverse radius of curvature $\ell ^{-1}$, so that there is no speed of…

High Energy Physics - Theory · Physics 2022-02-16 Victor E. Ambrus , Elizabeth Winstanley

Wightman function, the vacuum expectation values (VEVs) of the field squared and the energy-momentum tensor are investigated for a massive scalar field with general curvature coupling in a spherically symmetric static background geometry…

High Energy Physics - Theory · Physics 2014-05-14 S. Bellucci , A. A. Saharian , A. H. Yeranyan

The Casimir force between two parallel plates separated by anisotropic media is investigated. We theoretically calculate the Casimir force between two parallel plates when the interspace between the plates is filled with anisotropic media.…

Quantum Physics · Physics 2015-06-29 Gang Deng , Bao-Hua Tan , Ling Pei , Ni Hu , Jin-Rong Zhu

The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled to gravity is…

High Energy Physics - Theory · Physics 2016-07-26 Hongbo Cheng

We revisit the Casimir effect for two concentric spherical shells in de Sitter background with a new geometric configuration, namely Euclidean signature between and Lorentzian signature outside the spheres with different cosmological…

General Relativity and Quantum Cosmology · Physics 2009-05-03 F. Darabi

The phenomena implied by the existence of quantum vacuum fluctuations, grouped under the title of the Casimir effect, are reviewed, with emphasis on new results discovered in the past four years. The Casimir force between parallel plates is…

High Energy Physics - Theory · Physics 2011-07-19 Kimball A. Milton

The decay rate of the Bunch-Davies state of a massive scalar field in the expanding flat spatial sections of de Sitter space is determined by an analysis of the particle pair creation process in real time. The Feynman definition of particle…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Paul R. Anderson , Emil Mottola , Dillon H. Sanders

For scalar and electromagnetic fields we evaluate the vacuum expectation value of the energy-momentum tensor induced by a curved boundary in the Robertson--Walker spacetime with negative spatial curvature. In order to generate the vacuum…

High Energy Physics - Theory · Physics 2010-04-30 A. A. Saharian , M. R. Setare

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

We present a detailed description of a quantum scalar field theory within a flat spacetime confined to a cavity with perfectly reflecting moving boundaries. Moreover, we establish an equivalence between this time-dependent setting and a…

Positive frequency Wightman function and vacuum expectation values of the energy-momentum tensor are computed for a massive scalar field with general curvature coupling parameter and satisfying Robin boundary condition on a uniformly…

High Energy Physics - Theory · Physics 2009-11-07 Aram A. Saharian

We investigate the Wightman function, the vacuum expectation values of the field squared and the energy-momentum tensor for a massive scalar field with general curvature coupling parameter subject to Robin boundary conditions on two…

High Energy Physics - Theory · Physics 2009-05-06 A. A. Saharian

From energy considerations there is reason to expect that the work done by Casimir forces during a slow displacement of the parallel plates reflects the free energy of the surface tension of the adjacent surfaces. We show this explicitly,…

Quantum Physics · Physics 2017-05-30 J. S. Høye , I. Brevik

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,…

General Relativity and Quantum Cosmology · Physics 2026-03-03 D. S. Cabral , A. A. Araújo Filho , A. F. Santos

We present a new method to compute quantum energies in presence of a background field. The method is based on the string-inspired worldline approach to quantum field theory and its numerical realization with Monte-Carlo techniques. Our…

High Energy Physics - Theory · Physics 2007-05-23 L. Moyaerts , K. Langfeld , H. Gies

We compute the vacuum polarization for a massless, conformally coupled scalar field on the covering space of global, four-dimensional, anti-de Sitter space-time. Since anti-de Sitter space is not globally hyperbolic, boundary conditions…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Thomas Morley , Peter Taylor , Elizabeth Winstanley