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One of the most important and still unresolved problems in the field of dispersion forces, is that of determining the influence of temperature on the Casimir force between two metallic plates. While alternative theoretical approaches lead…

Quantum Physics · Physics 2009-02-10 Giuseppe Bimonte

I investigate the finite temperature Casimir effect for a charged and massless scalar field satisfying mixed (Dirichlet-Neumann) boundary conditions on a pair of plane parallel plates of infinite size. The effect of a uniform magnetic…

High Energy Physics - Theory · Physics 2020-11-03 Andrea Erdas

A theory and numerical findings are presented on the magnetic Casimir interaction that arises from vacuum fluctuations of the quantized field and its effects at the nuclear scale. We investigate how the zero-temperature Casimir effect at…

Quantum Physics · Physics 2025-10-29 S. K. Panja , L. Inacio , S. Pal , M. Boström

In this work, we analyze the Casimir effect associated with a massive, non-minimally coupled scalar field in static, spherically symmetric black hole spacetimes arising in bumblebee gravity. Three distinct solutions are considered,…

General Relativity and Quantum Cosmology · Physics 2026-03-03 D. S. Cabral , A. A. Araújo Filho , A. F. Santos

Starting from a Lagrangian, electromagnetic field in the presence of a nonlinear dielectric medium is quantized using path-integral techniques and correlation functions of different fields are calculated. The susceptibilities of the…

Quantum Physics · Physics 2015-05-20 Fardin Kheirandish , Ehsan Amooghorban , Morteza Soltani

In this work, I study the finite temperature Casimir effect due to a massless fermion field that violates Lorentz invariance according to the Horava-Lifshitz theory. I investigate a fermion field that obeys MIT bag boundary conditions on a…

High Energy Physics - Theory · Physics 2025-06-13 Andrea Erdas

We discuss the relation of the specific heat, the energy density and the thermodynamic Casimir effect in the case of thin films in the three dimensional XY universality class. The finite size scaling function $\theta(x)$ of the…

Statistical Mechanics · Physics 2013-05-29 Martin Hasenbusch

A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube. We show…

High Energy Physics - Theory · Physics 2016-10-06 V. M. Gorkavenko , Yu. A. Sitenko , O. B. Stepanov

In this paper we use the scalar field constructed in phase space to analyze the analogous Stefan-Boltzman law and Casimir effect both of them at finite temperature. The temperature is introduced by Thermo Field Dynamics (TFD) and the…

High Energy Physics - Theory · Physics 2018-07-11 R. G. G. Amorim , J. S da Cruz Filho , A. F. Santos , S. C. Ulhoa

The Casimir energies and pressures for a massless scalar field associated with $\delta$-function potentials in 1+1 and 3+1 dimensions are calculated. For parallel plane surfaces, the results are finite, coincide with the pressures…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton

We analyze the high temperature (or classical) limit of the Casimir effect. A useful quantity which arises naturally in our discussion is the ``relative Casimir energy", which we define for a configuration of disjoint conducting boundaries…

High Energy Physics - Theory · Physics 2014-11-18 J. Feinberg , A. Mann , M. Revzen

We study the Casimir effect for a three dimensional system of ideal free massive Bose gas in a slab geometry with Zaremba and anti-periodic boundary conditions. It is found that for these type of boundary conditions the resulting Casimir…

Statistical Mechanics · Physics 2018-04-09 Mir Mehedi Faruk , Shovon Biswas

We analyze the thermodynamic Casimir effect in strongly anizotropic systems from the vectorial $N\to\infty$ class in a slab geometry. Employing the imperfect (mean-field) Bose gas as a representative example, we demonstrate the key role of…

Statistical Mechanics · Physics 2024-03-15 Maciej Łebek , Paweł Jakubczyk

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

In this paper, we consider the fermionic Casimir effect under a new type of space-time topology using the concept of quotient topology. The relation between the new topology and that in Ref. \cite{Feng,Zhai3} is something like that between…

High Energy Physics - Theory · Physics 2011-06-30 Xiang-hua Zhai , Xin-zhou Li , Chao-Jun Feng

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 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…

High Energy Physics - Theory · Physics 2008-11-26 Ariel Edery

The finite temperature Casimir effect for a scalar field in the bulk region of the two Randall-Sundrum models, RSI and RSII, is studied. We calculate the Casimir energy and the Casimir force for two parallel plates with separation $a$ on…

High Energy Physics - Theory · Physics 2010-02-02 Marianne Rypestøl , Iver Brevik

We investigate the role of surface plasmons in the electromagnetic Casimir effect at finite temperature, including situations out of global thermal equilibrium. The free energy is calculated analytically and expanded for different regimes…

Quantum Physics · Physics 2010-08-05 F. Intravaia , H. Haakh , C. Henkel

A d-dimensional finite quantum model system confined to a general hypercubical geometry with linear spatial size L and ``temporal size'' 1/T (T - temperature of the system) is considered in the spherical approximation under periodic…

Condensed Matter · Physics 2008-02-03 H. Chamati , D. M. Danchev , N. S. Tonchev
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