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A noncommutative complex scalar field, satisfying the deformed canonical commutation relations proposed by Carmona et al. [27]-[31], is constructed. Using these noncommutative deformed canonical commutation relations, a model describing the…

High Energy Physics - Theory · Physics 2012-06-19 Farid Khelili

We extend our previous work on a derivative expansion for the Casimir energy, to the case of the electromagnetic field coupled to two thin, imperfect mirrors. The latter are described by means of vacuum polarization tensors localized on the…

High Energy Physics - Theory · Physics 2015-06-04 Cesar D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

In this paper we consider a special case of vacuum non-linear electrodynamics with a stress-energy tensor conformal to the Maxwell theory. Distinctive features of this model are: the absence of dimensional parameter for non-linearity…

General Relativity and Quantum Cosmology · Physics 2022-10-19 I. P. Denisova , B. D. Garmaev , V. A. Sokolov

We calculate the dependence of the Casimir force on the isotopic composition of the interacting objects. This dependence arises from the subtle influence of the nuclear masses on the electronic properties of the bodies. We discuss the…

Quantum Physics · Physics 2009-11-07 Dennis E. Krause , Ephraim Fischbach

Topological magnetoelectric effect in a three-dimensional topological insulator is a novel phenomenon, where an electric field induces a magnetic field in the same direction, with a universal coefficient of proportionality quantized in…

Mesoscale and Nanoscale Physics · Physics 2015-08-21 Jing Wang , Biao Lian , Xiao-Liang Qi , Shou-Cheng Zhang

We derive the Casimir force expression from Maxwell's stress tensor by means of original quantum-electro-dynamical cavity modes. In contrast with similar calculations, our method is straightforward and does not rely on intricate…

Quantum Physics · Physics 2012-01-06 Frederic Schuller , Renaud Savalle

The Casimir energy for massless scalar field of two parallel conductor, in two dimensional Schwarzchild black hole background, with Dirichlet boundary conditions is calculated by making use of general properties of renormalized stress…

High Energy Physics - Theory · Physics 2009-10-31 M. R. Setare

We consider the Casimir effect for a sphere in front of a plane at finite temperature for scalar and electromagnetic fields and calculate the limiting cases. For small separation we compare the exact results with the corresponding ones…

Quantum Physics · Physics 2015-03-13 M. Bordag , I. Pirozhenko

We consider an atom in its ground state undergoing a non-relativistic oscillation in free space. The interaction with the electromagnetic quantum vacuum leads to two effects to leading order in perturbation theory. When the mechanical…

Quantum Physics · Physics 2018-04-04 Reinaldo de Melo e Souza , François Impens , Paulo A. Maia Neto

The Casimir effect for a scalar field in presence of delta-type potentials has been investigated for a long time in the case of surface delta functions, modelling semi-transparent boundaries. More recently Albeverio, Cacciapuoti, Cognola,…

Mathematical Physics · Physics 2018-09-07 Davide Fermi , Livio Pizzocchero

We employ path integral methods to calculate the Casimir energy and force densities in a chiral extension of QED. Manifestly gauge invariant perfect electromagnetic boundary conditions, a natural generalization of perfect electric and…

High Energy Physics - Theory · Physics 2023-02-10 Fabrizio Canfora , David Dudal , Thomas Oosthuyse , Pablo Pais , Luigi Rosa

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

Electrostatic charges placed near the interface between ordinary and topological insulators induce magnetic fields, through the so-called topological magnetoelectric effect. Here, we present a numerical implementation of the associated…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Josep Planelles , Jose L. Movilla , Juan I. Climente

This communication concerns the structure of the electromagnetic quantum vacuum in a disclinated insulator. It is shown that a nonzero vacuum energy density appears when the rotational symmetry of a continuous insulating elastic medium is…

Condensed Matter · Physics 2009-10-28 Fernando Moraes

We consider the Casimir effect of the electromagnetic field in a higher dimensional spacetime of the form $M\times \mathcal{N}$, where $M$ is the 4-dimensional Minkowski spacetime and $\mathcal{N}$ is an $n$-dimensional compact manifold.…

High Energy Physics - Theory · Physics 2011-06-08 L. P. Teo

We obtain new expressions for the Casimir energy between plates that are mimicked by the most general possible boundary conditions allowed by the principles of quantum field theory. This result enables to provide the quantum vacuum energy…

Mathematical Physics · Physics 2020-02-19 J. M. Muñoz-Castañeda , M. Bordag , L. Santamaría-Sanz

We calculate the thermal Casimir effect for a dielectric tube of radius $R$ and thickness delta formed from a membrane in water. The method uses a field-theoretic approach in the grand canonical ensemble. The leading contribution to the…

Soft Condensed Matter · Physics 2009-11-10 D. S. Dean , R. R. Horgan

The electromagnetic Casimir energies of a spherical and a cylindrical cavity are analyzed semiclassically. The field theoretical self-stress of a spherical cavity with ideal metallic boundary conditions is reproduced to better than 1%. The…

High Energy Physics - Theory · Physics 2007-05-23 Martin Schaden

We present a rigorous, regularization independent local quantum field theoretic treatment of the Casimir effect for a quantum scalar field of mass $\mu\ne0$ which yields closed form expressions for the energy density and pressure. As an…

General Relativity and Quantum Cosmology · Physics 2015-05-13 G. Gazzola , M. C. Nemes , W. F. Wreszinski

The Casimir effect is a quantum phenomenon induced by the zero-point energy of relativistic fields confined in a finite-size system. This effect for photon fields has been studied for a long time, while the realization of counterparts for…

Mesoscale and Nanoscale Physics · Physics 2023-06-22 Katsumasa Nakayama , Kei Suzuki