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Casimir effect for massless minimally coupled scalar field is studied. An explicit answer for de Sitter spacetime is obtained and analized. Cosmological implications of the result are discussed.

High Energy Physics - Theory · Physics 2015-05-27 Philipp Burda

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

We study the dynamical Casimir effect in an electromagnetic cavity containing a Kerr medium. We obtain approximate expressions for the time evolution operator as well as for the number operator in the Heisenberg representation. We have…

Quantum Physics · Physics 2017-05-24 R. Román-Ancheyta , C. González-Gutiérrez , J. Récamier

A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube on a plane…

High Energy Physics - Theory · Physics 2013-12-17 V. M. Gorkavenko , Yu. A. Sitenko , O. B. Stepanov

The effect of edges and apertures on the Casimir energy of an arrangement of plates and boundaries can be calculated in terms of an effective nonlocal lower-dimensional field theory that lives on the boundary. This formalism has been…

High Energy Physics - Theory · Physics 2013-06-05 Dimitra Karabali , V. P. Nair

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We calculate radiative corrections to the Casimir effect for the massive complex scalar field with the $\lambda\phi^{4}$ self-interaction in $d+1$ dimensions. We consider the field submitted to four types of boundary conditions on two…

High Energy Physics - Theory · Physics 2007-05-23 R. M. Cavalcanti , C. Farina , F. A. Barone

We obtain new expressions for the Casimir energy between plates that are mimicked by the most general possible boundary conditions allowed by the principles of quantum field theory. This result enables to provide the quantum vacuum energy…

Mathematical Physics · Physics 2020-02-19 J. M. Muñoz-Castañeda , M. Bordag , L. Santamaría-Sanz

We study a stochastic version of the dynamical Casimir effect, computing the particle creation inside a cavity produced by a random motion of one of its walls. We first present a calculation perturbative in the amplitude of the motion. We…

Quantum Physics · Physics 2023-01-25 Matías Mantiñan , Francisco D. Mazzitelli , Leonardo G. Trombetta

We use a functional approach to calculate the Casimir energy due to Dirac fields in interaction with thin, flat, parallel walls, which implement imperfect bag-like boundary conditions. These are simulated by the introduction of delta-like…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , E. L. Losada

We study analytically the photon generation from vacuum due to the Dynamical Casimir effect in a cavity with a two-level atom, prepared initially in an arbitrary pure state. Performing small unitary transformations we obtain closed…

Quantum Physics · Physics 2012-01-19 A. V. Dodonov , V. V. Dodonov

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

In this paper, the Casimir effect for parallel plates in the presence of one compactified universal extra dimension is reexamined in detail. Having regularized the expressions of Casimir force, we show that the nature of Casimir force is…

High Energy Physics - Theory · Physics 2009-11-11 Hongbo Cheng

Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated for a massive scalar field with an arbitrary curvature coupling parameter in the region between two infinite parallel…

High Energy Physics - Theory · Physics 2009-11-11 A. A. Saharian , R. M. Avagyan , R. S. Davtyan

We calculate the Casimir energy of a massless scalar field in a cavity formed by nearby parallel plates orbiting a rotating spherical body surrounded by quintessence, investigating the influence of the gravitational field on that energy, at…

High Energy Physics - Theory · Physics 2016-12-21 V. B. Bezerra , M. S. Cunha , L. F. F. Freitas , C. R. Muniz

In this work, we present a rather simple method to study the Casimir effect on a spherical shell for a massless scalar field with Dirichlet boundary condition by applying the indefinite metric field (Krein) quantization technique. In this…

Mathematical Physics · Physics 2018-08-16 H. Pejhan , M. Reza Tanhayi , M. V. Takook

We calculate the vacuum (Casimir) energy for a scalar field with $\phi^4$ self-interaction in (1+1) dimensions non perturbatively, i.e., in all orders of the self-interaction. We consider massive and massless fields in a finite box with…

High Energy Physics - Theory · Physics 2021-02-15 M. Bordag

The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of…

Quantum Physics · Physics 2012-07-19 Mustafa Ozcan

We show that two indistinguishable aspects of the divergences occurring in the Casimir effect, namely the divergence of the energy of the higher modes and the non-com\-pact\-ness of the momentum space, get disentangled in a given…

High Energy Physics - Theory · Physics 2020-09-28 S. A. Franchino-Viñas , S. Mignemi

We consider a scalar field in a one-dimensional cavity with a mobile wall. The wall is assumed bounded by a harmonic potential and its mechanical degrees of freedom are treated quantum mechanically. The possible motion of the wall makes the…

Quantum Physics · Physics 2013-08-20 Salvatore Butera , Roberto Passante
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