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Whereas the total energy in zero-point fluctuations of the particle physics vacuum gives rise to the cosmological constant problem, differences in the vacuum give rise to real physical phenomena, such as the Casimir effect. Hence we…

Astrophysics · Physics 2007-05-23 R. R. Caldwell

We examine the Casimir effect for a perfectly conducting cylinder of elliptical section, taking as reference the known case of circular section. The zero-point energy of this system is evaluated by the mode summation method, using the…

High Energy Physics - Theory · Physics 2009-11-11 Adrian R. Kitson , August Romeo

The Casimir force between two short-range charge sources, embedded in a background of one dimensional massive Dirac fermions, is explored by means of the original $\ln\text{[Wronskian]}$ contour integration techniques. For identical sources…

High Energy Physics - Theory · Physics 2019-06-19 Yu. Voronina , I. Komissarov , K. Sveshnikov

We investigate the fermionic Casimir effect for a Dirac field confined between two parallel plates with MIT bag boundary conditions in the presence of CPT-odd Lorentz-symmetry violation described by a constant axial background vector…

High Energy Physics - Theory · Physics 2026-04-13 A. Martín-Ruiz , M. B. Cruz , E. R. Bezerra de Mello

The Casimir effect is a quantum phenomenon rooted in the fact that vacuum fluctuations of quantum fields are affected by the presence of physical objects and boundaries. Since the energy spectrum of the vacuum fluctuations depends on…

High Energy Physics - Theory · Physics 2023-02-08 M. N. Chernodub , V. A. Goy , A. V. Molochkov

We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

High Energy Physics - Theory · Physics 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

Recently, we have demonstrated that for a certain class of Casimir-type systems ("devices") the energy of zero-point vacuum fluctuations reaches its global minimum when the device rotates about a certain axis rather than remains static.…

Quantum Physics · Physics 2013-02-12 M. N. Chernodub

We consider the vacuum energy of the electromagnetic field in the background of spherically symmetric dielectrics, subject to a cut-off frequency in the dispersion relations. The effect of this frequency dependent boundary condition between…

High Energy Physics - Theory · Physics 2007-05-23 H. Falomir , K. Rébora

We study the Casimir interaction in the plane-sphere geometry in the classical limit of high temperatures. In this limit, the finite conductivity of the metallic plates needs to be taken into account. For the Drude model, the classical…

Casimir forces can appear between intrusions placed in different media driven by several fluctuation mechanisms, either in equilibrium or out of it. Herein, we develop a general formalism to obtain such forces from the dynamical equations…

Statistical Mechanics · Physics 2015-05-20 Pablo Rodriguez-Lopez , Ricardo Brito , Rodrigo Soto

We derive boundary conditions for electromagnetic fields on a $\delta$-function plate. The optical properties of such a plate are shown to necessarily be anisotropic in that they only depend on the transverse properties of the plate. We…

High Energy Physics - Theory · Physics 2015-06-05 Prachi Parashar , Kimball A. Milton , K. V. Shajesh , M. Schaden

We develop here a mechanism that, without making use of a cosmological constant, reproduces an accelerating universe. This is done by taking into account Casimir vacuum energy density, assuming that the underlying theory allows a maximum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Briscese , A. Marciano

We give an example of a geometry in which two metallic objects in vacuum experience a repulsive Casimir force. The geometry consists of an elongated metal particle centered above a metal plate with a hole. We prove that this geometry has a…

We analyze the dynamical Casimir effect for a massless scalar field confined between two concentric spherical shells which impose on the field mixed boundary conditions. We thus complement a previous result [Phys. Rev. A \textbf{78}, 032521…

Quantum Physics · Physics 2009-04-27 F. Pascoal , L. C. Céleri , S. S. Mizrahi , M. H. Y. Moussa , C. Farina

We analyze the Axion Electrodynamics in a two-dimensional slab of finite width $L$ containing a homogeneous and isotropic dielectric medium with constant permittivity and permeability. We start from the known decomposition of modes in the…

High Energy Physics - Theory · Physics 2024-11-25 Iver Brevik , Masud Chaichian , Amedeo M. Favitta

We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane perfect conductor. This is done in two ways. First, we use the Quantum Field Theory (QFT)…

High Energy Physics - Theory · Physics 2010-01-26 M. Bordag , I. V. Fialkovsky , D. M. Gitman , D. V. Vassilevich

Vacuum modes confined into an electromagnetic cavity give rise to an attractive interaction between the opposite walls. When the distance between the walls is changed non-adiabatically, virtual vacuum modes are turned into real particles,…

Mesoscale and Nanoscale Physics · Physics 2015-01-20 Pasi Lähteenmäki , G. S. Paraoanu , Juha Hassel , Pertti J. Hakonen

Based on the photon-exciton Hamiltonian a microscopic theory of the Casimir problem for dielectrics is developed. Using well-known many-body techniques we derive a perturbation expansion for the energy which is free from divergences. In the…

Quantum Physics · Physics 2007-05-23 Luca Valeri , Gunter Scharf

We investigate Casimir effect as well as thermal Casimir effect for a pair of parallel perfectly plates placed in general stationary space-time background. It is found that the Casimir energy is influenced by the 00-component of metric and…

Quantum Physics · Physics 2017-10-10 Anwei Zhang

The main part of this paper is to present an updated review of the Casimir energy at zero and finite temperature for the transverse oscillations of a piecewise uniform closed string. We make use of three different regularizations: the…

Quantum Physics · Physics 2015-06-03 Iver Brevik