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The Casimir effect is a crucial prediction of Quantum Field Theory which has fascinating connections with open questions in fundamental physics. The ideal formula written by Casimir does not describe real experiments and it has to be…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Serge Reynaud

We calculate the Casimir energy of a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed tangentially to the surface of a sphere with mass M and radius R. To this end, we take into…

High Energy Physics - Theory · Physics 2015-05-06 C. R. Muniz , V. B. Bezerra , M. S. Cunha

A new method based on the Monte-Carlo calculation on the lattice is proposed to study the Casimir effect in the compact lattice U(1) theory with Wilson action. We have studied the standard Casimir problem with two parallel plane surfaces…

High Energy Physics - Lattice · Physics 2009-01-15 Oleg Pavlovsky , Maxim Ulybyshev

The Casimir effect results from the optomechanical coupling between field fluctuations and mirrors in quantum vacuum. This contribution to the 20th International Conference on Laser Spectroscopy (ICOLS 2011) discusses the current status in…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Serge Reynaud

Molecular quantum electrodynamics leads to photon frequency shifts and thus to changes in condensed matter free energies often called the Casimir effect. Strong quantum electrodynamic coupling between radiation and molecular motions can…

Statistical Mechanics · Physics 2013-05-29 S. Sivasubramanian , A. Widom , Y. N. Srivastava

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

The Casimir effect in a dispersive and absorbing multilayered system is considered adopting the (net) vacuum-field pressure point of view to the Casimir force. Using the properties of the macroscopic field operators appropriate for…

Quantum Physics · Physics 2009-11-07 M. S. Tomas

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

The analytic asymptotic expressions for the Casimir free energy and entropy for two parallel graphene sheets possessing nonzero energy gap $\Delta$ and chemical potential $\mu$ are derived at arbitrarily low temperature. Graphene is…

Other Condensed Matter · Physics 2020-07-15 G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir force on a $D$-dimensional sphere due to the confinement of a massless scalar field is computed as a function of $D$, where $D$ is a continuous variable that ranges from $-\infty$ to $\infty$. The dependence of the force on the…

High Energy Physics - Theory · Physics 2009-10-28 Carl M. Bender , Kimball A. Milton

We revisit the path integral computation of the Casimir energy between two infinite parallel plates placed in a QED vacuum. We implement perfectly magnetic conductor boundary conditions (as a prelude to the dual superconductor picture of…

High Energy Physics - Theory · Physics 2020-08-05 David Dudal , Pablo Pais , Luigi Rosa

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

The phenomena implied by the existence of quantum vacuum fluctuations, grouped under the title of the Casimir effect, are reviewed, with emphasis on new results discovered in the past four years. The Casimir force between parallel plates is…

High Energy Physics - Theory · Physics 2011-07-19 Kimball A. Milton

We calculate the Casimir energy for the configuration of two parallel plates coupled to nonabelian gauge fields with a Yang-Mills action. We consider both 2+1 and 3+1 dimensions in the manifestly gauge-invariant formalism we have pursued…

High Energy Physics - Theory · Physics 2025-11-14 Dimitra Karabali , Antonina Maj , V. P. Nair

The survey summarizes briefly the results obtained recently in the Casimir effect studies considering the following subjects: i) account of the material characteristics of the media and their influence on the vacuum energy (for example,…

High Energy Physics - Theory · Physics 2007-05-23 V. V. Nesterenko

Quantum theory predicts the existence of the Casimir force between macroscopic bodies, due to the zero-point energy of electromagnetic field modes around them. This quantum fluctuation-induced force has been experimentally observed for…

Quantum Physics · Physics 2011-08-19 A. O. Sushkov , W. J. Kim , D. A. R. Dalvit , S. K. Lamoreaux

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

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

We study the Casimir effect for scalar fields with general curvature coupling subject to mixed boundary conditions $(1+\beta_{m}n^{\mu}\partial_{\mu})\phi =0$ at $x=a_{m}$ on one ($m=1$) and two ($m=1,2$) parallel plates at a distance…

High Energy Physics - Theory · Physics 2008-11-26 A. Romeo , A. A. Saharian

We combine linear response theory and dimensional regularization in order to derive the dynamical Casimir force in the low frequency regime. We consider two parallel plates moving along the normal direction in $D-$dimensional space. We…

High Energy Physics - Theory · Physics 2009-11-07 L. A. S. Machado , P. A. Maia Neto