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We compute the finite temperature Casimir energy for massive scalar field with general curvature coupling subject to Dirichlet or Neumann boundary conditions on the walls of a closed cylinder with arbitrary cross section, located in a…

High Energy Physics - Theory · Physics 2009-12-04 L. P. Teo

The Casimir energy for a massless scalar field between the closely spaced two concentric D-dimensional (for D>3) spheres is calculated by using the mode summation with contour integration in the complex plane of eigenfrequencies and the…

Quantum Physics · Physics 2012-07-20 Mustafa Özcan

The Casimir interaction energy for a class of discrete self-similar configuration of parallel plates is evaluated using existing methods. The similarities to characteristics of an attractive Casimir force is deduced only at infinite range…

Quantum Physics · Physics 2022-01-04 Venkat Abhignan , R. Sankaranarayanan

In this work I study the Casimir effect of a massive complex scalar field in the presence of one large compactified extra dimension. I investigate the case of a scalar field confined between two parallel plates in the macroscopic three…

High Energy Physics - Theory · Physics 2022-10-13 Andrea Erdas

We consider the interaction between a spherical plasma sheet and a planar plasma sheet due to the vacuum fluctuations of electromagnetic fields. We use the mode summation approach to derive the Casimir interaction energy and study its…

Quantum Physics · Physics 2015-06-18 L. P. Teo

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

A multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling,…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Jef Wagner

We develop an exact method for computing the Casimir energy between arbitrary compact objects, both with boundary conditions for a scalar field and dielectrics or perfect conductors for the electromagnetic field. The energy is obtained as…

Quantum Physics · Physics 2008-11-26 T. Emig , R. L. Jaffe

We consider the finite temperature Casimir effect between two concentric spheres due to the vacuum fluctuations of the electromagnetic field in the $(D+1)$-dimensional Minkowski spacetime. Different combinations of perfectly conducting and…

Quantum Physics · Physics 2011-08-08 L. P. Teo

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

Analytic expressions that describe Casimir interactions over the entire range of separations have been limited to planar surfaces. Here we derive analytic expressions for the classical or high-temperature limit of Casimir interactions…

Quantum Physics · Physics 2014-10-30 G. Bimonte , T. Emig

A Lorentz symmetry violation aether-type theoretical model is considered to investigate the Casimir effect and the generation of topological mass associated with a self-interacting massive scalar fields obeying Dirichlet, Newman and mixed…

High Energy Physics - Theory · Physics 2020-08-12 M. B. Cruz , E. R. Bezerra de Mello , H. F. Santana Mota

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

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

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

The vacuum expectation values of the energy--momentum tensor are investigated for massless scalar fields satisfying Dicichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on…

High Energy Physics - Theory · Physics 2011-07-19 R. M. Avagyan , A. A. Saharian , A. H. Yeranyan

We consider the Casimir interaction, mediated by massless fermions, between a spherical defect and a flat potential barrier, assuming hard (bag-type) boundary conditions at both the barrier and the surface of the sphere. The computation of…

High Energy Physics - Theory · Physics 2015-07-06 Antonino Flachi , Lee-Peng Teo

Exploiting conformal symmetry, we derive a simple exact formula for the classical electromagnetic Casimir interaction of two perfectly conducting three-spheres, including the sphere-plate geometry as a special case, in four euclidean…

Quantum Physics · Physics 2016-10-24 Giuseppe Bimonte

We study the Casimir interaction between perfectly conducting sphere and plate in the classical limit of high temperatures. By taking the small-distance expansion of the exact scattering formula, we compute the leading correction to the…

Quantum Physics · Physics 2017-03-15 Giuseppe Bimonte

We study the Casimir effect for scalar fields with general curvature coupling subject to mixed boundary conditions $(1+\beta_{m}n^{\mu}\partial_{\mu})\phi =0$ at $x=a_{m}$ on one ($m=1$) and two ($m=1,2$) parallel plates at a distance…

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