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Related papers: Casimir effect with one large extra dimension

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We consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate…

High Energy Physics - Theory · Physics 2017-08-23 L. P. Teo , K. Kirsten

This work investigates the influence of Lorentz symmetry breaking, introduced by an aether-like field $\alpha_\phi$, on the Casimir effect within a five-dimensional flat spacetime. By considering a quasiperiodic condition regulated by the…

High Energy Physics - Theory · Physics 2026-03-05 K. E. L. de Farias , M. A. Anacleto , A. A. Araújo Filho , M. B. Cruz , R. A. Dantas , Amilcar R. Queiroz , E. Passos

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

We compute the first radiative correction to the Casimir energy of a massive scalar field with a quartic self-interaction in the presence of two parallel plates. Three kinds of boundary conditions are considered: Dirichlet-Dirichlet,…

High Energy Physics - Theory · Physics 2009-11-10 F. A. Barone , R. M. Cavalcanti , C. Farina

This paper investigates the Casimir Energy modifications due to the Lorentz-violating CPT-even contribution in an extension of the scalar QED. We have considered the complex scalar field satisfying Dirichlet boundary conditions between two…

High Energy Physics - Theory · Physics 2023-02-20 M. C. Araújo , J. Furtado , R. V. Maluf

The Casimir force in a system consisting of two parallel conducting plates in the presence of compactified universal extra dimensions (UXD) is analyzed. The Casimir force with UXDs differs from the force obtained without extra dimensions. A…

High Energy Physics - Theory · Physics 2014-11-18 Katja Poppenhaeger , Sabine Hossenfelder , Stefan Hofmann , Marcus Bleicher

In this letter, we derive the explicit exact formulas for the finite temperature Casimir force acting on a pair of parallel plates in the presence of extra compactified dimensions within the framework of Kaluza-Klein theory. Using the…

High Energy Physics - Theory · Physics 2009-02-26 L. P. Teo

The Casimir effect for parallel plates in the presence of compactified universal extra dimensions within the frame of Kaluza-Klein theory is analyzed. Having regularized and discussed the expressions of Casimir force in the limit, we show…

High Energy Physics - Theory · Physics 2008-11-26 Hongbo Cheng

We calculate radiative corrections to the Casimir effect for the massive complex scalar field with the $\lambda\phi^{4}$ self-interaction in $d+1$ dimensions. We consider the field submitted to four types of boundary conditions on two…

High Energy Physics - Theory · Physics 2007-05-23 R. M. Cavalcanti , C. Farina , F. A. Barone

We calculate the next to the leading order Casimir effect for a real scalar field, within $\phi^4$ theory, confined between two parallel plates in three spatial dimensions with the Dirichlet boundary condition. In this paper we introduce a…

High Energy Physics - Theory · Physics 2009-04-03 Reza Moazzemi , Maryam Namdar , Siamak S. Gousheh

Non-Commutative space-time introduces a fundamental length scale suggested by approaches to quantum gravity. Here we report the analysis of the Casimir effect for parallel plates separated by a distance of $L$ using a Lorentz invariant…

High Energy Physics - Theory · Physics 2024-02-08 E. Harikumar , Suman Kumar Panja

The Casimir effect for {mass dimension one fermion fields (sometimes called Elko)} in $3+1$ dimension is obtained using Dirichlet boundary conditions. It is shown the existence of a repulsive force four times greater than the case of the…

High Energy Physics - Theory · Physics 2017-07-03 S. H. Pereira , J. M. Hoff da Silva , Rubia dos Santos

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

In this study, we investigate the effect of the Lorentz invariance violation on the Casimir energy and pressure of the massive fermion field in the presence of the compact dimensions with topological $R^4\times S^1$, referring to the…

High Energy Physics - Theory · Physics 2026-03-03 Ar Rohim , Apriadi Salim Adam

The Casimir force on two-dimensional pistons for massive scalar fields with both Dirichlet and hybrid boundary conditions is computed. The physical result is obtained by making use of generalized $\zeta$-function regularization technique.…

High Energy Physics - Theory · Physics 2009-03-12 Xiang-hua Zhai , Yan-yan Zhang , Xin-zhou Li

I investigate the finite temperature Casimir effect for a charged and massless scalar field satisfying mixed (Dirichlet-Neumann) boundary conditions on a pair of plane parallel plates of infinite size. The effect of a uniform magnetic…

High Energy Physics - Theory · Physics 2020-11-03 Andrea Erdas

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

The finite temperature Casimir effect for a charged, massive scalar field confined between very large, perfectly conducting parallel plates is studied using the zeta function regularization technique. The scalar field satisfies Dirichlet…

High Energy Physics - Theory · Physics 2015-06-18 Andrea Erdas , Kevin P. Seltzer

We study the Dynamical Casimir Effect (DCE) for a real scalar field $\varphi$ in $d+1$ dimensions, in the presence of a mirror that imposes Dirichlet boundary conditions and undergoes time-dependent motion or deformation. Using a…

High Energy Physics - Theory · Physics 2026-05-19 B. C. Guntsche , C. D. Fosco

We consider the finite temperature Casimir effect of a massive fermionic field confined between two parallel plates, with MIT bag boundary conditions on the plates. The background spacetime is $M^{p+1}\times T^q$ which has $q$ dimensions…

High Energy Physics - Theory · Physics 2015-05-28 F. S. Khoo , L. P. Teo