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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

In this paper the Lifshitz formula for the Casimir energy between two dielectrics in zero temperature is derived using box renormalization. Although there are several derivations for the force in this case in the literature, including…

Quantum Physics · Physics 2018-11-16 Maryam Miralaei , Reza Moazzemi

The Casimir energy of a dilute homogeneous nonmagnetic dielectric ball at zero temperature is derived analytically within a microscopic realistic model of dielectrics for an arbitrary physically possible frequency dispersion of dielectric…

Quantum Physics · Physics 2009-11-07 Valery N. Marachevsky

In the present paper we investigate thermal fluctuation corrections to the vacuum energy at zero temperature of a conformally coupled massless scalar field whose modes propagate in the Einstein universe with a spherical boundary,…

High Energy Physics - Theory · Physics 2022-11-18 Herondy F. S. Mota , Celio R. Muniz , Valdir B. Bezerra

The role of the vacuum, in the Casimir Effect, is a matter of some dispute: the Casimir force has been variously described as a phenomenon resulting "from the alteration, by the boundaries, of the zero-point electromagnetic energy", or a…

Quantum Physics · Physics 2013-07-24 William M. R. Simpson

We present theoretical description of the Casimir interaction in graphene systems which is based on the Lifshitz theory of dispersion forces and the formalism of the polarization tensor in (2+1)-dimensional space-time. The representation…

Quantum Physics · Physics 2016-04-13 G. L. Klimchitskaya

The Casimir effect is one of the most remarkable consequences of the non-zero vacuum energy predicted by quantum field theory. In this paper we use a local approach to study the Lorentz violation effects of the minimal standard model…

High Energy Physics - Theory · Physics 2017-02-22 A. Martín-Ruiz , C. A. Escobar

A new expansion is established for the Green's function of the electromagnetic field in a medium with arbitrary $\epsilon$ and $\mu$. The obtained Born series are shown to consist of two types of interactions - the usual terms (denoted…

High Energy Physics - Theory · Physics 2009-10-31 Israel Klich

We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed…

Quantum Physics · Physics 2010-08-23 Sahand Jamal Rahi , Thorsten Emig , Noah Graham , Robert L. Jaffe , Mehran Kardar

We study the quantum paraelectric-ferroelectric transition near a quantum critical point, emphasizing the role of temperature as a "finite size effect" in time. The influence of temperature near quantum criticality may thus be likened to a…

Strongly Correlated Electrons · Physics 2009-11-13 L. Palova , P. Chandra , P. Coleman

This paper deals with quantum field theory in curved space-time using the Thermo Field Dynamics. The scalar field is coupled to the Schwarzschild space time and then thermalised. The Stefan-Boltzmann law is established at finite temperature…

High Energy Physics - Theory · Physics 2020-06-10 A. F. Santos , S. C. Ulhoa , Faqir C. Khanna

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

As it is well known the topology of space is not totally determined by Einstein's equations. It is considered a massless scalar quantum field in a static Euclidean space of dimension 3. The expectation value for the energy density in all…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mariana P. Lima , Daniel Muller

Recently the Casmir-Polder force felt by an atom near a substrate under nonequilibrium stationary conditions has been studied theoretically with macroscopic quantum electrodyanamics (MQED) and verified experimentally with cold atoms. We…

Quantum Physics · Physics 2013-01-11 Ryan Orson Behunin , Bei-Lok Hu

The Casimir energy corresponding to a massive scalar field with Dirichlet boundary conditions on a spherical bag is obtained. The field is considered, separately, inside and outside the bag. The renormalization procedure that is necessary…

High Energy Physics - Theory · Physics 2008-11-26 M. Bordag , K. Kirsten , E. Elizalde , S. Leseduarte

We investigate the thermal Casimir interaction between two magnetodielectric plates made of real materials. On the basis of the Lifshitz theory, it is shown that for diamagnets and for paramagnets in the broad sense (with exception of…

Other Condensed Matter · Physics 2010-03-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir-Polder force is analyzed when an atom is moving at a constant velocity relative to a collection of translationally invariant macroscopic bodies with generic shapes and compositions. The interaction is described within an…

Quantum Physics · Physics 2026-02-19 D. Reiche , B. Beverungen , K. Busch , F. Intravaia

Recently a great deal of interest in field theories formulated in a Lorentz violating framework has been developed. Here the Very Special Relativity (VSR) is considered. The main aspect in the VSR proposal is that laws of physics are…

High Energy Physics - Theory · Physics 2021-07-07 A. F. Santos , Faqir C. Khanna

We propose an approach for investigation of interaction of thin material films with quantum electrodynamic fields. Using main principles of quantum electrodynamics (locality, gauge invariance, renormalizability) we construct a single model…

High Energy Physics - Theory · Physics 2007-05-23 V. N. Markov , Yu. M. Pis'mak

We study the Casimir effect in the framework of Standard Model Extension (SME). Employing the weak field approximation, the vacuum energy density {\epsilon} and the pressure for a massless scalar field confined between two nearby parallel…

High Energy Physics - Theory · Physics 2018-11-29 Massimo Blasone , Gaetano Lambiase , Luciano Petruzziello , Antonio Stabile