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The energy momentum tensor is used to introduce the Casimir force of the massive scalar field acting on a nonpenetrating surface. This expression can be used to evaluate the vacuum force by employing the appropriate field operators. To…

Quantum Physics · Physics 2014-06-05 Sonia Mobassem

We investigate the vacuum expectation value of the surface energy-momentum tensor for a massive scalar field with general curvature coupling parameter obeying the Robin boundary conditions on two codimension one parallel branes in a…

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

We evaluate the Casimir energy and force for a massive scalar field with general curvature coupling parameter, subject to Robin boundary conditions on two codimension-one parallel plates, located on a $(D+1)$-dimensional background…

High Energy Physics - Theory · Physics 2009-12-10 E. Elizalde , S. D. Odintsov , A. A. Saharian

The stress tensor of a massless scalar field satisfying Robin boundary conditions on two one-dimensional wall in two-dimensional Schwarzschild background is calculated. We show that vacuum expectation value of stress tensor can be obtained…

High Energy Physics - Theory · Physics 2009-11-10 M R Setare

We construct a natural and nonperturbative momentum space for quantum field theory on $(d+1)$-dimensional de Sitter (dS) spacetime in the Poincar\'e slicing, adapted to early Universe cosmology. In particular, we identify the dS frequency…

High Energy Physics - Theory · Physics 2026-04-20 Nathan Belrhali , Arthur Poisson , Sébastien Renaux-Petel , Denis Werth

We have studied in a previous work the quantization of a mixed bulk-boundary system describing the coupled dynamics between a bulk quantum field confined to a spacetime with finite space slice and with timelike boundary, and a boundary…

High Energy Physics - Theory · Physics 2021-03-12 Benito A. Juárez-Aubry , Ricardo Weder

We study the problem of the behavior of a quantum massless scalar field in the space between two parallel infinite perfectly conducting plates, one of them stationary, the other moving periodically. We reformulate the physical problem into…

Quantum Physics · Physics 2009-11-10 Nikola P. Petrov

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

We explore the dependence of vacuum energy on the boundary conditions for massive scalar fields in (2 + 1)-dimensional spacetimes. We consider the simplest geometrical setup given by a two-dimensional space bounded by two homogeneous…

High Energy Physics - Theory · Physics 2024-05-08 Manuel Asorey , Claudio Iuliano , Fernando Ezquerro

Positive frequency Wightman function and vacuum expectation value of the energy-momentum tensor are computed for a massive scalar field with general curvature coupling parameter subject to Robin boundary conditions on two parallel plates…

High Energy Physics - Theory · Physics 2009-11-10 Aram A. Saharian

We study the backreaction on the mean field geometry due to a non-conformal quantum field in a Robertson-Walker background. In the regime of small mass and small deviation from conformal coupling, we compute perturbatively the expectation…

General Relativity and Quantum Cosmology · Physics 2009-12-02 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces. In this lecture I present some results of the theory of the Casimir effect, primarily formulated in terms of…

High Energy Physics - Theory · Physics 2009-09-25 Kimball A. Milton

We consider a real massless scalar field in 1+1 dimensions satisfying time-dependent Robin boundary condition at a static wall. This condition can simulate moving reflecting mirrors whose motions are determined by the time-dependence of the…

High Energy Physics - Theory · Physics 2011-08-12 Hector O. Silva , C. Farina

In this article, we present the zero and first-order radiative correction to the Dirichlet Casimir energy for massive and massless scalar field confined in a rectangle. This calculation procedure was conducted in two spatial dimensions and…

High Energy Physics - Theory · Physics 2018-10-16 M. A. Valuyan

In this work, we compute the gravitational wave displacement and spin memory effects in de Sitter spacetime. Gravitational waves in asymptotically flat spacetimes are described by the Bondi-Sachs framework, where radiation at null infinity…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Anthi Voulgari Revof , Shubhanshu Tiwari

Effects due to vacuum fluctuations in a semi-classical model of a massless scalar field interacting with a rotating ring are investigated by introducing a collective coordinate for the motion of the background potential. The model is solved…

Quantum Physics · Physics 2012-11-13 Martin Schaden

We study quantum field theory on a de Sitter spacetime dS$_{d+1}$ background. Our main tool is the Hilbert space decomposition in irreducible unitary representations of its isometry group $SO(d+1,1)$. As the first application of the Hilbert…

High Energy Physics - Theory · Physics 2022-11-07 Matthijs Hogervorst , João Penedones , Kamran Salehi Vaziri

We study two issues, the localization of various spin fields, and the problem of the cosmological constant on a brane in five-dimensional anti de Sitter space. We find that spin-zero fields are localized on a positive-tension brane. In…

High Energy Physics - Theory · Physics 2009-10-31 Borut Bajc , Gregory Gabadadze

Casimir effect in the planar setting is described using the boundary state formalism, for general partially reflecting boundaries. It is expressed in terms of the low-energy degrees of freedom, which provides a large distance expansion…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bajnok , L. Palla , G. Takacs

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
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