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We study the Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in a three dimensional cavity with sides of arbitrary lengths $a,b$ and $c$ where $a$ is the plate separation. We obtain an exact expression for…

高能物理 - 理论 · 物理学 2008-11-26 Ariel Edery

Under dimensional reduction, a system in D spacetime dimensions will not necessarily yield its D-1-dimensional analog version. Among other things, this result will depend on the boundary conditions and the dimension D of the system. We…

高能物理 - 理论 · 物理学 2009-06-24 A. Edery , N. Graham , I. MacDonald

We consider the Casimir force acting on a $d$-dimensional rectangular piston due to massless scalar field with periodic, Dirichlet and Neumann boundary conditions and electromagnetic field with perfect electric conductor and perfect…

高能物理 - 理论 · 物理学 2009-11-13 S. C. Lim , L. P. Teo

We study the zero and finite temperature Casimir force acting on a perfectly conducting piston with arbitrary cross section moving inside a closed cylinder with infinitely permeable walls. We show that at any temperature, the Casimir force…

高能物理 - 理论 · 物理学 2009-02-19 S. C. Lim , L. P. Teo

We determine the Casimir energies and forces in a variety of potentially experimentally viable setups, consisting of parallel plates made of perfect electromagnetic conductors (PEMCs), which generalize perfect electric conductors (PECs) and…

高能物理 - 理论 · 物理学 2023-11-29 Thomas Oosthuyse , David Dudal

We discuss the Casimir effect for boundary conditions involving perfect electromagnetic conductors (PEMCs). Based on the corresponding reciprocal Green's tensor we construct the Green's tensor for two perfectly reflecting plates with…

量子物理 · 物理学 2018-05-09 Stefan Rode , Robert Bennett , Stefan Yoshi Buhmann

We study Casimir forces on the partition in a closed box (piston) with perfect metallic boundary conditions. Related closed geometries have generated interest as candidates for a repulsive force. By using an optical path expansion we solve…

量子物理 · 物理学 2008-11-26 M. P. Hertzberg , R. L. Jaffe , M. Kardar , A. Scardicchio

The Casimir effect for rectangular boxes has been studied for several decades. But there are still some points unclear. Recently, there are new developments related to this topic, including the demonstration of the equivalence of the…

高能物理 - 理论 · 物理学 2014-12-03 Xiang-Hua Zhai , Rui-Hui Lin , Chao-Jun Feng , Xin-Zhou Li

Using functional integral methods, we investigate the non-Abelian Casimir energy in the Curci-Ferrari model, which offers an effective description of the infrared regime of Yang-Mills theory. We consider a 3+1D (resp.\ 2+1D) system of two…

高能物理 - 理论 · 物理学 2025-09-10 David Dudal , Philipe De Fabritiis , Sebbe Stouten

We consider Casimir force acting on a three dimensional rectangular piston due to a massive scalar field subject to periodic, Dirichlet and Neumann boundary conditions. Exponential cut-off method is used to derive the Casimir energy in the…

高能物理 - 理论 · 物理学 2011-03-02 S. C. Lim , L. P. Teo

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.…

高能物理 - 理论 · 物理学 2011-06-08 L. P. Teo

We investigate the properties of the vacuum state for the Proca field in the geometry of two parallel plates on background of (D+1)-dimensional Minkowski spacetime. The two-point functions for the vector potential and the field tensor are…

高能物理 - 理论 · 物理学 2026-04-06 A. A. Saharian , H. H. Asatryan

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

量子物理 · 物理学 2009-11-07 Timothy H. Boyer

In this paper we study the Casimir force for a piston configuration in $R^3$ with one dimension being slightly curved and the other two infinite. We work for two different cases with this setup. In the first, the piston is "free to move"…

高能物理 - 理论 · 物理学 2010-04-23 V. K. Oikonomou

In this paper, the finite temperature Casimir force acting on a two-dimensional Casimir piston due to electromagnetic field is computed. It was found that if mixed boundary conditions are assumed on the piston and its opposite wall, then…

高能物理 - 理论 · 物理学 2009-03-19 L. P. Teo

We study the Casimir effect for a parallel plate setup with one plate with dynamical edge mode (DEM) boundary conditions, and one plate with perfect electromagnetic conductor (PEMC) boundary conditions. In order to restore BRST invariance,…

高能物理 - 理论 · 物理学 2026-05-12 Jarne Devroe , David Dudal , Sebbe Stouten

The energy of a perfectly conducting rectangular cavity is studied by making use of pistons' interactions. The exact solution for a 3D perfectly conducting piston with an arbitrary cross section is being discussed.

高能物理 - 理论 · 物理学 2008-11-26 Valery N. Marachevsky

We study the finite temperature Casimir effect on a pair of parallel perfectly conducting plates in Randall-Sundrum model without using scalar field analogy. Two different ways of interpreting perfectly conducting conditions are discussed.…

高能物理 - 理论 · 物理学 2014-11-21 L. P. Teo

In this article, we derive the formula for the Casimir force acting on a piston made of real material moving inside a perfectly conducting rectangular box. It is shown that by taking suitable limits, one recovers the formula for the Casimir…

高能物理 - 理论 · 物理学 2014-11-20 L. P. Teo

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…

高能物理 - 理论 · 物理学 2020-08-05 David Dudal , Pablo Pais , Luigi Rosa
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