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The zeta function regularization technique is used to study the finite temperature Casimir effect for a charged and massless scalar field confined between parallel plates and satisfying Dirichlet boundary conditions at the plates. A…

High Energy Physics - Theory · Physics 2013-11-13 Andrea Erdas , Kevin P. Seltzer

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

The Casimir forces on two parallel plates in conformally flat de Sitter background due to conformally coupled massless scalar field satisfying mixed boundary conditions on the plates is investigated. In the general case of mixed boundary…

High Energy Physics - Theory · Physics 2016-09-06 M. R. Setare

After briefly reviewing how the (proper-time) Schwinger's formula works for computing the Casimir energy in the case of "scalar electrodynamics" where the boundary conditions are dictated by two perfectly conducting parallel plates with…

High Energy Physics - Theory · Physics 2015-06-26 M. V. Cougo-Pinto , C. Farina , Antonio J. Segui-Santonja

We study the system of a massive fermion field confined between two parallel plates, where the properties of both plates are discussed under chiral MIT boundary conditions. We investigate the effects of the chiral angle on the Casimir…

High Energy Physics - Theory · Physics 2023-02-13 Ar Rohim , Apriadi Salim Adam , Kazuhiro Yamamoto

We consider the thermal Casimir effect in systems of parallel plates coupled to a mass-less free field theory via quadratic interaction terms which suppress (i) the field on the plates (ii) the gradient of the field in the plane of the…

Statistical Mechanics · Physics 2009-01-27 David S. Dean

In this paper we examine the Casimir effect for charged fields in presence of external magnetic field. We consider scalar field (connected with spinless particles) and the Dirac field (connected with 1/2-spin particles). In both cases we…

High Energy Physics - Theory · Physics 2007-05-23 Marcin Ostrowski

In this paper we compute the Casimir energy for a coupled fermion-pseudoscalar field system. In the model considered in this paper the pseudoscalar field is \textit{static} and \textit{prescribed} with two adjustable parameters. These…

High Energy Physics - Theory · Physics 2012-09-25 Leila Shahkarami , Azadeh Mohammadi , Siamak Sadat Gousheh

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

The local Casimir energy density for a massless scalar field associated with step-function potentials in a 3+1 dimensional spherical geometry is considered. The potential is chosen to be zero except in a shell of thickness $\delta$, where…

High Energy Physics - Theory · Physics 2009-11-11 Ines Cavero-Pelaez , Kimball A. Milton , Jeffrey Wagner

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

The prototypical Casimir effect arises when a scalar field is confined between parallel Dirichlet boundaries. We study corrections to this when the boundaries themselves have apertures and edges. We consider several geometries: a single…

High Energy Physics - Theory · Physics 2011-11-02 Daniel Kabat , Dimitra Karabali , V. P. Nair

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

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 develop a formalism suitable for studying Maxwell's equations in the presence of a medium that is axially symmetric, in particular with respect to Casimir-Polder interaction energies. As an application, we derive the Casimir-Polder…

Classical Physics · Physics 2017-12-04 K. V. Shajesh , Prachi Parashar , Iver Brevik

The Casimir energies for plate-sphere system and sphere-sphere system under PFA in the presence of one extra compactified universal dimension are analyzed. We find that the Casimir energy between a plate and a sphere in the case of…

High Energy Physics - Theory · Physics 2015-09-23 Hongbo Cheng

Radiative corrections to the Casimir force between two parallel plates are considered in both scalar field theory of one massless and one massive field and in QED. Full calculations are contrasted with calculations based on employing…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kirill Melnikov

We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by…

High Energy Physics - Theory · Physics 2009-11-02 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

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

Herein the Casimir effect is used to present a simple macroscopic view on creating exotic matter. The energy arising between two nearly perfectly conducting parallel plates is shown to become increasingly negative as the plate separation is…

General Physics · Physics 2007-05-23 C. T. Ridgely