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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, which predicts the emergence of an attractive force between two parallel, highly reflecting plates in vacuum, plays a vital role in various fields of physics, from quantum field theory and cosmology to nanophotonics and…

Quantum Physics · Physics 2022-03-29 Daniel Hodgson , Christopher Burgess , M. Basil Altaie , Almut Beige , Robert Purdy

The quantum vacuum (Casimir) energy arising from noninteracting massless quanta is known to induce a long-range force, while decays exponentially for massive fields and separations larger than the inverse mass of the quanta involved. Here,…

High Energy Physics - Theory · Physics 2021-07-07 Antonino Flachi , Vincenzo Vitagliano

When the vacuum is partitioned by material boundaries with arbitrary shape, one can define the zero-point energy and the free energy of the electromagnetic waves in it: this can be done, independently of the nature of the boundaries, in the…

Quantum Physics · Physics 2007-05-23 Roger Balian , Bertrand Duplantier

The physical origin of the Casimir force is connected with the existence of zero-point and thermal fluctuations. The Casimir effect is very general and finds applications in various fields of physics. This review is limited to the rapid…

Other Condensed Matter · Physics 2014-11-18 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

Higher-abelian gauge theories associated with Cheeger-Simons differential characters are studied on compact manifolds without boundary. The paper consists of two parts: First the functional integral formulation based on zeta function…

High Energy Physics - Theory · Physics 2019-04-12 Gerald Kelnhofer

We use a functional approach to evaluate the Casimir free energy for a self-interacting scalar field in $d+1$ dimensions, satisfying Dirichlet boundary conditions on two parallel planes. When the interaction is turned off, exact results for…

High Energy Physics - Theory · Physics 2008-09-16 Claudio Ccapa Ttira , Cesar D. Fosco

We have developed an exact, general method to compute Casimir interactions between a finite number of compact objects of arbitrary shape and separation. Here, we present details of the method for a scalar field to illustrate our approach in…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

In this paper, a massless scalar field coupled to gravity is considered. Then the Casimir effect at finite temperature is calculated. Such development is carried out in the Thermo Field Dynamics formalism. This approach presents a…

High Energy Physics - Theory · Physics 2022-10-07 A. F. Santos , Faqir C. Khanna

We consider the finite temperature Casimir effect of a massive fermionic field confined between two parallel plates, with MIT bag boundary conditions on the plates. The background spacetime is $M^{p+1}\times T^q$ which has $q$ dimensions…

High Energy Physics - Theory · Physics 2015-05-28 F. S. Khoo , L. P. Teo

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

A generalization of the Bogoliubov transformation is developed to describe a space compactified fermionic field. The method is the fermionic counterpart of the formalism introduced earlier for bosons (J. C. da Silva, A. Matos Neto, F. C.…

High Energy Physics - Theory · Physics 2009-11-10 H. Queiroz , J. C. da Silva , F. C. Khanna , J. M. C. Malbouisson , M. Revzen , A. E. Santana

We investigate the vacuum and thermal fluctuations of a neutral massless scalar field living in Minkowski spacetime and interacting with a finite number of point-like obstacles, modelled by zero-range potentials. The system is described…

Mathematical Physics · Physics 2026-05-12 Davide Fermi , Marco Gurgoglione

In this work I study the finite temperature Casimir effect caused by a complex and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The Lorentz invariance breaking is caused by a constant space-like…

High Energy Physics - Theory · Physics 2025-12-25 Andrea Erdas

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

We study the mechanical actions affecting close scatterers immersed in a coherent fermionic fluid. Using a scattering field theory, we theoretically analyse the single-scatterer and the two-scatterer case. Concerning the single-scatterer…

Mesoscale and Nanoscale Physics · Physics 2016-11-08 F. Romeo

The electromagnetic Casimir effect has a fermionic counterpart in topological insulators: Zero-point fluctuations of a massless Dirac fermion field mediate a force between magnetic scatterers. The Casimir force is insensitive to disorder…

Quantum Physics · Physics 2024-10-25 C. W. J. Beenakker

We study the finite temperature Casimir interaction between two concentric cylinders. When the separation between the cylinders is much smaller than the radii of the cylinders, the asymptotic expansions of the Casimir interaction are…

Quantum Physics · Physics 2015-05-30 L. P. Teo

We extend the perturbative approach developed in an earlier work to deal with Lagrangians which have arbitrary higher order time derivative terms for both bosons and fermions. This approach enables us to find an effective Lagrangian with…

High Energy Physics - Theory · Physics 2009-11-07 Tai-Chung Cheng , Pei-Ming Ho , Mao-Chuang Yeh

We study the Casimir effect due to a massive vector field in a system of two parallel plates made of real materials, in an arbitrary magnetodielectric background. The plane waves satisfying the Proca equations are classified into transverse…

Quantum Physics · Physics 2010-11-11 L. P. Teo