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We use a functional approach to evaluate the Casimir free energy for a self-interacting scalar field in $d+1$ dimensions, satisfying Dirichlet boundary conditions on two parallel planes. When the interaction is turned off, exact results for…

High Energy Physics - Theory · Physics 2008-09-16 Claudio Ccapa Ttira , Cesar D. Fosco

The phenomenon of particle creation within a resonantly vibrating lossy cavity is investigated for the example of a massless scalar field at finite temperature. Leakage is provided by insertion of a dispersive mirror into a larger ideal…

Quantum Physics · Physics 2008-08-28 Gernot Schaller , Ralf Schützhold , Günter Plunien , Gerhard Soff

The Casimir effect at finite temperature is investigated for a dilute dielectric ball; i.e., the relevant internal and free energies are calculated. The starting point in this study is a rigorous general expression for the internal energy…

High Energy Physics - Theory · Physics 2009-10-31 V. V. Nesterenko , G. Lambiase , G. Scarpetta

The Casimir stress on two parallel plates in de Sitter background for massless scalar field satisfying Robin boundary conditions on the plates 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 , R. Mansouri

The regularized total Casimir energy in spacetimes with boundaries is not in general equal to the integral of the regularized energy density. This paradoxical phenomenon is most transparently analyzed in the simple example of a massless…

Quantum Physics · Physics 2007-05-23 Xinwei Kong , Finn Ravndal

Casimir interactions (due to the massless scalar field fluctuations) of two surfaces which are close to each other are studied. After a brief general presentation, explicit calculations for co-axial cylinders, co-centric spheres and…

High Energy Physics - Theory · Physics 2015-06-26 H. Ahmedov , I. H. Duru

In this paper we compute the Casimir energy and force for massless scalar fields endowed with hybrid boundary conditions, in the setting of the bounded generalized cone. By using spectral zeta function regularization methods, we obtain…

High Energy Physics - Theory · Physics 2011-06-21 Guglielmo Fucci , Klaus Kirsten

This communication concerns the structure of the electromagnetic quantum vacuum in a disclinated insulator. It is shown that a nonzero vacuum energy density appears when the rotational symmetry of a continuous insulating elastic medium is…

Condensed Matter · Physics 2009-10-28 Fernando Moraes

Several nontrivial phenomena emerge when a quantum field is subjected to dynamical perturbations, with prominent examples including the Hawking and Unruh effects, as well as the dynamical Casimir effect. In this work, we compute the number…

Quantum Physics · Physics 2026-02-04 Gustavo de Oliveira , Thiago Henrique Moreira , Lucas Chibebe Céleri

Emission of photon pairs by an interface of asymmetric dielectric and thin metal film excited by a normally falling plane wave is considered. The excitation causes oscillations in time of the phase velocity of surface plasmon polaritons in…

Mesoscale and Nanoscale Physics · Physics 2014-10-17 V. Hizhnyakov , A. Loot , S. Ch. Azizabadi

We investigate the vacuum expectation values of the energy-momentum tensor and the fermionic condensate associated with a massive spinor field obeying the MIT bag boundary condition on a spherical shell in the global monopole spacetime. In…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian , E. R. Bezerra de Mello

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 study the Casimir effect for free massless scalar fields propagating on a two-dimensional cylinder with a metric that admits a change of signature from Lorentzian to Euclidean. We obtain a nonzero pressure, on the hypersurfaces of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Darabi , M. R. Setare

In this paper we consider a Lorentz-breaking scalar field theory within the Horava-Lifshtz approach. We investigate the changes that a space-time anisotropy produces in the Casimir effect. A massless real quantum scalar field is considered…

High Energy Physics - Theory · Physics 2016-01-05 I. J. Morales Ulion , E. R. Bezerra de Mello , A. Yu. Petrov

The Casimir force on a $D$-dimensional sphere due to the confinement of a massless scalar field is computed as a function of $D$, where $D$ is a continuous variable that ranges from $-\infty$ to $\infty$. The dependence of the force on the…

High Energy Physics - Theory · Physics 2009-10-28 Carl M. Bender , Kimball A. Milton

The consistency of quantum field theories defined on domains with external borders imposes very restrictive constraints on the type of boundary conditions that the fields can satisfy. We analyse the global geometrical and topological…

High Energy Physics - Theory · Physics 2009-11-11 M. Asorey , D. Garcia-Alvarez , J. M. Munoz-Castaneda

In previous works Suppes and de Barros used a pure particle model to derive interference effects, where individual photons have well-defined trajectories, and hence no wave properties. In the present paper we extend that description to…

Quantum Physics · Physics 2009-10-28 Patrick Suppes , Adonai S. Sant'Anna , J. Acacio de Barros

Finite temperature Casimir theory of the Dirichlet scalar field is developed, assuming that there is a conventional Casimir setup in physical space with two infinitely large plates separated by a gap R and in addition an arbitrary number q…

High Energy Physics - Theory · Physics 2014-11-18 Marianne Rypestøl , Iver Brevik

We derive a general expression for the Casimir energy corresponding to two flat parallel mirrors in d+1 dimensions, described by nonlocal interaction potentials. For a real scalar field, the interaction with the mirrors is implemented by a…

High Energy Physics - Theory · Physics 2014-11-18 C. D. Fosco , E. Losada

In the present study, the first-order radiative correction to the Casimir energy for massive and massless scalar fields confined with mixed boundary conditions (Dirichlet-Neumann) between two points in \phi^4 theory was computed. Two issues…

High Energy Physics - Theory · Physics 2019-12-10 M. A. Valuyan