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The Casimir effect for a massless scalar field on the helix boundary condition which is named as quantum spring is studied in our recent paper\cite{Feng}. In this paper, the Casimir effect of the quantum spring is investigated in…

High Energy Physics - Theory · Physics 2011-04-08 Xiang-hua Zhai , Xin-zhou Li , Chao-Jun Feng

The zero-point energy of a massless fermion field in the interior of two parallel plates in a D-dimensional space-time at zero temperature is calculated. In order to regularize the model, a mix between dimensional and zeta-function…

High Energy Physics - Theory · Physics 2009-10-31 R. D. M. De Paola , R. B. Rodrigues , N. F. Svaiter

We study the possible cosmological models in Kaluza-Klein-type multidimensional gravity with a curvature-nonlinear Lagrangian and a spherical extra space, taking into account the Casimir energy. First, we find a minimum of the effective…

General Relativity and Quantum Cosmology · Physics 2017-09-19 S. V. Bolokhov , K. A. Bronnikov

The Casimir effect in graphene systems is reviewed with emphasis made on the large thermal correction to the Casimir force predicted at short separations between the test bodies. The computational results for the Casimir pressure and for…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

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

The coupling, in a non-standard way, of a bosonic string theory with a dilaton and antisymmetric fields is investigated. By integrating over the antisymmetric fields, a Coulomb-like interaction term is generated. The static potential of a…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

The Casimir effect is considered a great triumph of Quantum Field Theory. Originally the Casimir energy was investigated considering the vacuum fluctuation associated with electromagnetic field; however it has also been analyzed considering…

High Energy Physics - Theory · Physics 2026-05-12 E. R. Bezerra de Mello , Herondy F. Mota

We apply quantum field theory in quantum space-time techniques to study the Casimir effect for large spherical shells. As background we use the recently constructed exact quantum solution for spherically symmetric vacuum space-time in loop…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

Within the framework of the (3+1)-dimensional Lorentz-violating extended electrodynamics including the CPT-odd Chern-Simons term, we consider the electromagnetic field between the two parallel perfectly conducting plates. We find the…

High Energy Physics - Theory · Physics 2010-04-06 O. G. Kharlanov , V. Ch. Zhukovsky

The string theory inspired Worldline Numerics approach to Casimir force calculations has some favourable characteristics that might make it well suited for geometric optimization problems as they arise e.g. in NEMS device engineering. We…

High Energy Physics - Theory · Physics 2011-10-28 Klaus Aehlig , Helge Dietert , Thomas Fischbacher , Jochen Gerhard

In this paper we take a deeper look at the technically elementary but physically robust viewpoint in which the Casimir energy in dielectric media is interpreted as the change in the total zero point energy of the electromagnetic vacuum…

High Energy Physics - Theory · Physics 2009-10-30 Carmen Molina-Paris , Matt Visser

The influence of a spherical boundary on the vacuum fluctuations of a massive scalar field is investigated in background of $(D+1)$-dimensional Milne universe, assuming that the field obeys Robin boundary condition on the sphere. The…

High Energy Physics - Theory · Physics 2020-04-24 A. A. Saharian , T. A. Petrosyan

Starting from an analytical expression for the Helmholtz free energy we calculate the thermal corrections to the Casimir energy-density and entropy within nearby ideal parallel plates in the vacuum of a massless scalar field. Our framework…

General Relativity and Quantum Cosmology · Physics 2017-11-23 V. B. Bezerra , H. R. Christiansen , M. S. Cunha , C. R. Muniz , M. O. Tahim

Assuming a toroidal space with finite volume, we derive analytically the full one-loop vacuum energy for a scalar field tunnelling between two degenerate vacua, taking into account discrete momentum. The Casimir energy is computed for an…

High Energy Physics - Theory · Physics 2024-05-20 Wen-Yuan Ai , Jean Alexandre , Matthias Carosi , Bjorn Garbrecht , Silvia Pla

We consider an open string with ends laying on the two different solid beams (rods). This set-up is equivalent to two scalar fields with a set of constraints at their end-points. We calculate the zero-point energy and the Casimir energy in…

High Energy Physics - Theory · Physics 2019-07-02 A. Jahan , I. Brevik

In this work, we present a rather simple method to study the Casimir effect on a spherical shell for a massless scalar field with Dirichlet boundary condition by applying the indefinite metric field (Krein) quantization technique. In this…

Mathematical Physics · Physics 2018-08-16 H. Pejhan , M. Reza Tanhayi , M. V. Takook

The interaction between the quantum vacuum and time-dependent boundaries can produce particles via the dynamical Casimir effect. It is known that, for asymmetric Casimir systems, there is an imbalance in the particle production on either…

Quantum Physics · Physics 2023-10-04 Matthew J. Gorban , William D. Julius , Ramesh Radhakrishnan , Gerald B. Cleaver

The vacuum energy for a massless conformally coupled scalar field in a brane world set up, corresponding to de Sitter branes in a bulk anti-de Sitter spacetime, is calculated. We use the Euclidean version of the metric which can be…

High Energy Physics - Theory · Physics 2009-10-09 Wade Naylor , Misao Sasaki

In the present work, we study a fermionic Lorentz invariance violation (LIV) theory with a CPT-even extension and analyze its impact on the Casimir effect under the MIT bag boundary condition model in a low-dimensional setting, where…

High Energy Physics - Theory · Physics 2025-11-13 K. E. L. de Farias , M. A. Anacleto , Iver Brevik , F. A. Brito , E. Passos , Amilcar Queiroz , João R. L. Santos

In this paper we analyze the vacuum expectation values of the field squared and the energy-momentum tensor associated to a massive scalar field in a higher dimensional cosmic string spacetime, obeying Dirichlet or Neumann boundary…

High Energy Physics - Theory · Physics 2011-07-07 E. R. Bezerra de Mello , A. A. Saharian