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We present a general extension of a field-theoretic approach developed in earlier papers to the calculation of the free energy of symmetrically layered electrolytic systems which is based on the Sine-Gordon field theory for the Coulomb gas.…

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

We give an overview of the work done during the past ten years on the Casimir interaction in electronic topological materials, our focus being solids which possess surface or bulk electronic band structures with nontrivial topologies, which…

Mesoscale and Nanoscale Physics · Physics 2021-07-15 Bing-Sui Lu

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

Since its first description in 1948, the Casimir effect has been studied extensively. Standard arguments for its existence hinge on the elimination of certain modes of the electromagnetic field because of the boundary conditions in the…

Quantum Physics · Physics 2024-12-16 David K. Campbell , Ian Bouche , Abhishek Som , David J. Bishop

We investigate the Wightman function, the vacuum expectation values of the field squared and the energy-momentum tensor for a massless scalar field with general curvature coupling parameter in spatially flat Friedmann-Robertson-Walker…

High Energy Physics - Theory · Physics 2010-08-11 A. A. Saharian , A. L. Mkhitaryan

We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the…

Quantum Physics · Physics 2016-11-15 V. M. Mostepanenko

By the thermofield dynamics (TFD) formalism we obtain the energy-momentum tensor for the Electromagnetism with Lorentz Breaking Even term of the Standard Model Extended (SME) Sector in a topology $S^{1}\times S^{1}\times R^{2}$. We carry…

High Energy Physics - Theory · Physics 2016-05-10 L. M. Silva , H. Belich , J. A. Helayël-Neto

In this paper, we study the Casimir effect in a curved spacetime described by gravitational actions quadratic in the curvature. In particular, we consider the dynamics of a massless scalar field confined between two nearby plates and…

General Relativity and Quantum Cosmology · Physics 2019-02-04 Luca Buoninfante , Gaetano Lambiase , Luciano Petruzziello , Antonio Stabile

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 analyse the physical implications of adding a topological density term $\theta Tr(F\wedge F)$ to a gauge theory in a bounded region. In particular, we calculate the Casimir effect on a spherical region and we show that the result is not…

High Energy Physics - Theory · Physics 2013-05-29 Fabrizio Canfora , Luigi Rosa , Jorge Zanelli

The Casimir effect results from alterations of the zero-point electromagnetic energy introduced by boundary-conditions. For ferromagnetic layers separated by vacuum (or a dielectric) such boundary-conditions are influenced by the…

Quantum Physics · Physics 2009-11-07 G. Metalidis , P. Bruno

The role of the vacuum, in the Casimir Effect, is a matter of some dispute: the Casimir force has been variously described as a phenomenon resulting "from the alteration, by the boundaries, of the zero-point electromagnetic energy", or a…

Quantum Physics · Physics 2013-07-24 William M. R. Simpson

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its…

Quantum Physics · Physics 2008-11-26 M. Bordag , U. Mohideen , V. M. Mostepanenko

In recent years there has been a growing interest in the field of Casimir wormhole. In classical general relativity (GR), it is known that the null energy condition (NEC) has to be violated to have a wormhole to be stable. The Casimir…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Zinnat Hassan , Sayantan Ghosh , P. K. Sahoo , Kazuharu Bamba

Two thin conducting, electrically neutral, parallel plates forming an isolated system in vacuum exert attracting force on each other, whose origin is the quantum electrodynamical interaction. This theoretical hypothesis, known as Casimir…

High Energy Physics - Theory · Physics 2007-05-23 Andrzej Herdegen

The vacuum fluctuations give rise to a number of phenomena; however, the the Casimir Effect is arguably the most salient manifestation of the quantum vacuum. In its most basic form it is realized through the interaction of a pair of neutral…

General Physics · Physics 2011-08-31 Richard Obousy

The Casimir densities are investigated for a massive spinor field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions. The vacuum expectation value of the energy-momentum tensor is presented in the…

High Energy Physics - Theory · Physics 2009-05-12 A. A. Saharian

In this work the Casimir effect is studied for scalar fields in the presence of boundaries and under the influence of arbitrary smooth potentials of compact support. In this setting, piston configurations are analyzed in which the piston is…

High Energy Physics - Theory · Physics 2013-02-27 Matthew Beauregard , Guglielmo Fucci , Klaus Kirsten , Pedro Morales

In the presence of an external field, the imposition of specific boundary conditions can lead to interesting new manifestations of the Casimir effect. In particular, it is shown here that even a single conducting plate may experience a…

Quantum Physics · Physics 2009-11-10 Pervez Hoodbhoy