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We investigate the Casimir effect at finite temperature for a charged scalar field in the presence of an external uniform and constant magnetic field, perpendicular to the Casimir plates. We have used a boundary condition characterized by a…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , J. F. M. Mendes , A. Tort

We consider the Casimir effect in a gauge-invariant Hamiltonian formulation of nonabelian gauge theories in (2+1) dimensions, for an arbitrary gauge group. We show that the result is in good agreement with recent lattice simulations. We…

High Energy Physics - Theory · Physics 2018-11-28 Dimitra Karabali , V. P. Nair

In this article, we derive the finite temperature Casimir force acting on a pair of parallel plates due to a massless scalar field propagating in the bulk of a higher dimensional brane model. In contrast to previous works which used…

High Energy Physics - Theory · Physics 2009-11-23 L. P. Teo

Recent theoretical work has concentrated on calculating the Casimir effect in curved spacetime. In this paper we outline the forward problem of metrical variation due to the Casimir effect for spherical geometries. We consider a scalar…

General Physics · Physics 2007-05-23 James R. Claycomb , Rambis K. Chu

Starting from a Lagrangian, electromagnetic field in the presence of a nonlinear dielectric medium is quantized using path-integral techniques and correlation functions of different fields are calculated. The susceptibilities of the…

Quantum Physics · Physics 2015-05-20 Fardin Kheirandish , Ehsan Amooghorban , Morteza Soltani

In a recent paper [arXiv:0904.2904] using a conjecture it is shown how one can calculate the effect of a weak stationary gravitational field on vacuum energy in the context of Casimir effect in an external gravitational field treated in 1+3…

General Relativity and Quantum Cosmology · Physics 2013-05-30 B. Nazari , M. Nouri-Zonoz

In this paper we consider a Lorentz-breaking extension of the theory for a real massive scalar quantum field in the region between two large parallel plates, with our manner to break the Lorentz symmetry is CPT-even, aether-like. For this…

High Energy Physics - Theory · Physics 2017-09-01 M. B. Cruz , E. R. Bezerra de Mello , A. Yu. Petrov

It is pointed out that the Casimir energy in a medium can be obtained most directly from the zero-point energy of the electromagnetic field because of its reduced propagation velocity. This brings to the fore again the old problem related…

Quantum Physics · Physics 2009-03-17 Finn Ravndal

We reexamine the Casimir effect for the rectangular cavity with two or three equal edges in the presence of compactified universal extra dimension. We derive the expressions for the Casimir energy and discuss the nature of Casimir force. We…

High Energy Physics - Theory · Physics 2009-11-10 Hongbo Cheng

This paper studies quantum field theories defined in networks, which are the multi-branch generalizations of interface conformal field theory (ICFT). We propose a novel junction condition on the node and show that it is consistent with…

Quantum Physics · Physics 2025-10-06 Tian-Ming Zhao , Rong-Xin Miao

An explicit calculation of Casimir effect through an alternative approach of field quantization [1, 2], has been presented in this paper. In this method, the auxiliary negative norm states have been utilized, the modes of which do not…

General Relativity and Quantum Cosmology · Physics 2009-11-11 H. Khosravi , M. Naseri , S. Rouhani , M. V. Takook

A spatially flat Friedmann-Robertson-Walker background with a general scale factor is considered. In this space-time, the energy-momentum tensor of the scalar field with a general curvature coupling parameter is obtained. Using the Thermo…

High Energy Physics - Theory · Physics 2020-07-15 A. F. Santos , S. C. Ulhoa , Faqir C. Khanna

We study the field theoretical model of a real scalar field in presence of spacial inhomogeneity in form of a finite width mirror (material layer). The interaction of the scalar field with the defect is described with position-dependent…

High Energy Physics - Theory · Physics 2008-07-04 I. V. Fialkovsky , V. N. Markov , Yu. M. Pis'mak

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

In this work I study the Casimir effect caused by a charged and massive scalar field that violates Lorentz symmetry in an aether-like and CPT even manner, by direct coupling between the field derivatives and two fixed orthogonal unit…

High Energy Physics - Theory · Physics 2025-01-07 Andrea Erdas

In this work, we use the Casimir effect to probe the existence of one extra dimension. We begin by evaluating the Casimir pressure between two plates in a $M^4\times S^1$ manifold, and then use an appropriate statistical analysis in order…

High Energy Physics - Theory · Physics 2011-08-31 F. Pascoal , L. F. A. Oliveira , F. S. S. Rosa , C. Farina

$\mathrm{O}(N)$ vector models in three dimensions, when defined in a geometry with a compact direction and tuned to criticality, exhibit long-range fluctuations which induce a Casimir effect. The strength of the resulting interaction is…

Statistical Mechanics · Physics 2025-12-23 Andrea Bulgarelli , Michele Caselle , Alessandro Nada , Marco Panero

In this paper we present a complete and detailed analysis of the calculation of both the Wightman function and the vacuum expectation value of the energy-momentum tensor that arise from quantum vacuum fluctuations of massive and massless…

High Energy Physics - Theory · Physics 2018-09-12 H. F. Mota , E. R. Bezerra de Mello , K. Bakke

Casimir forces of massive fermionic Dirac fields are calculated for parallel plates geometry in spatial space with dimension d and imposing bag model boundary conditions.It is shown that in the range of ma>>1 where m is mass of fields…

Quantum Physics · Physics 2012-08-27 Amir H. Abbassi &A. R. Sadre Momtaz

This paper gives a brief review on the recent work on fractional Klein-Gordon fields, in particular on the Casimir effect associated to fractional Klein-Gordon fields in various geometries and boundary conditions. New results on Casimir…

Mathematical Physics · Physics 2011-03-10 S. C. Lim , L. P. Teo