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Using the recently derived representation for the polarization tensor in (2+1)-dimensional space-time allowing an analytic continuation to the entire plane of complex frequencies, we obtain simple analytic expressions for the reflection…

Other Condensed Matter · Physics 2015-05-08 G. L. Klimchitskaya , V. M. Mostepanenko

We study the field theoretical model of a scalar field in presence of spacial inhomogeneities in form of one and two finite width mirrors (material slabs). The interaction of the scalar field with the defect is described with…

High Energy Physics - Theory · Physics 2017-08-23 I. V. Fialkovsky , V. N. Markov , Yu. M. Pis'mak

We present supplementary information on the recent indirect measurement of the Casimir pressure between two parallel plates using a micromachined oscillator. The equivalent pressure between the plates is obtained by means of the proximity…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. S. Decca , D. Lopez , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , V. M. Mostepanenko

In this work, a massive scalar field theory incorporating Lorentz violation is investigated. The symmetry breaking is introduced via a background traceless antisymmetric tensor. Within the framework of Thermo Field Dynamics (TFD), the…

High Energy Physics - Theory · Physics 2026-01-05 D. S. Cabral , L. H. A. R. Ferreira , L. A. S. Evangelista , A. F. Santos

The vacuum expectation value of the stress energy tensor for a massive scalar field with arbitrary coupling in flat spaces with non-trivial topology is discussed. We calculate the Casimir energy in these spaces employing the recently…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Ahmadi , M. Nouri-Zonoz

We study collective interaction effects that result from the change of free quantum electrodynamic field fluctuations by one- and two-dimensional perfect metal structures. The Casimir interactions in geometries containing plates and…

Statistical Mechanics · Physics 2014-11-18 Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe , Mehran Kardar

We show that two indistinguishable aspects of the divergences occurring in the Casimir effect, namely the divergence of the energy of the higher modes and the non-com\-pact\-ness of the momentum space, get disentangled in a given…

High Energy Physics - Theory · Physics 2020-09-28 S. A. Franchino-Viñas , S. Mignemi

Within the trln-formalism we investigate the vacuum interaction of cosmic strings and the influence of strings width on this effect. For the massless real scalar field we compute the Casimir contribution into the total vacuum energy. The…

High Energy Physics - Theory · Physics 2023-08-16 Yuri V. Grats , Pavel Spirin

Charged massive matter fields of spin 0 and 1/2 are quantized in the presence of an external uniform magnetic field in a spatial region bounded by two parallel plates. The most general set of boundary conditions at the plates, that is…

High Energy Physics - Theory · Physics 2015-08-31 Yu. A. Sitenko

We review the definition of the Casimir energy steming naturally from the concept of functional determinant through the zeta function prescription. This is done by considering the theory at finite temperature and by defining then the…

High Energy Physics - Theory · Physics 2009-10-28 K. Kirsten , E. Elizalde

The Casimir effect describes the attractive force arising due to quantum fluctuations of the vacuum electromagnetic field between closely spaced conducting plates. Traditionally, zeta-regularization is employed in calculations to address…

Quantum Physics · Physics 2024-06-12 Ching-Hsuan Yen

In this work we study the Casimir effect for massless scalar fields propagating in a piston geometry of the type $I\times N$ where $I$ is an interval of the real line and $N$ is a smooth compact Riemannian manifold. Our analysis represents…

Mathematical Physics · Physics 2021-04-20 Guglielmo Fucci , Klaus Kirsten , Jose M. Munoz-Castaneda

Whightman function, vacuum expectation values of the field square, and the energy-momentum tensor are investigated for a scalar field inside a wedge with and without a coaxial cylindrical boundary. Dirichlet boundary conditions are assumed…

High Energy Physics - Theory · Physics 2009-11-11 A. A. Saharian , A. S. Tarloyan

Mesoscopic particles immersed in a critical fluid experience long-range Casimir forces due to critical fluctuations. Using field theoretical methods, we investigate the Casimir interaction between two spherical particles and between a…

Condensed Matter · Physics 2009-10-28 E. Eisenriegler , U. Ritschel

\emph{Resonance Casimir-Polder interaction(RCPI)} occurs in nature when one or more atoms are in their excited states and the exchange of real photon is involved between them due to vacuum fluctuations of the quantum fields. In recent…

General Relativity and Quantum Cosmology · Physics 2020-07-06 Arpan Chatterjee , Saptarshi Saha , Chiranjeeb Singha

We discuss non-equilibrium extensions of the Casimir force (due to electromagnetic fluctuations), where the objects as well as the environment are held at different temperatures. While the formalism we develop is quite general, we focus on…

Quantum Physics · Physics 2014-10-31 Matthias Krüger , Thorsten Emig , Giuseppe Bimonte , Mehran Kardar

We compute Casimir forces in open geometries with edges, involving parallel as well as perpendicular semi-infinite plates. We focus on Casimir configurations which are governed by a unique dimensional scaling law with a universal…

Quantum Physics · Physics 2008-11-26 Holger Gies , Klaus Klingmuller

A global approach with cut-off exponential functions previously proposed is used to obtain the Casimir energy of a massless scalar field in the presence of a spherical shell. The proposed method makes the use of two regulators, one of them…

High Energy Physics - Theory · Physics 2011-03-22 M. S. R. Miltão , Franz A. Farias

Quantum fluctuations of massless scalar fields represented by quantum fluctuations of the quasiparticle vacuum in a zero-temperature dilute Bose-Einstein condensate may well provide the first experimental arena for measuring the Casimir…

Mathematical Physics · Physics 2009-11-11 Ariel Edery

We calculate the energy-momentum tensor due to electromagnetic vacuum fluctuations between two parallel hyperplanes in more than four dimensions, considering both metallic and MIT boundary conditions. Using the axial gauge, the problem can…

Quantum Physics · Physics 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus
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