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We review the definition of the Casimir energy steming naturally from the concept of functional determinant through the zeta function prescription. This is done by considering the theory at finite temperature and by defining then the…

High Energy Physics - Theory · Physics 2009-10-28 K. Kirsten , E. Elizalde

The Casimir energy is evaluated for massless scalar fields under Dirichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on one and two infinite parallel plates moving by…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , R. S. Davtyan , A. H. Yeranyan

Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir…

High Energy Physics - Theory · Physics 2009-11-07 Kimball A. Milton

Quantum vacuum energy entered hadronic physics through the zero-point energy parameter introduced into the bag model. Estimates of this parameter led to apparent discordance with phenomenological fits. More serious were divergences which…

High Energy Physics - Theory · Physics 2010-11-05 K. A. Milton

The Casimir effect, the dispersion force attracting neutral objects to each other, may be understood in terms of multiple scattering of light between the interacting bodies. We explore the simple model in which the bodies are assumed to…

Quantum Physics · Physics 2010-04-29 Simen Å. Ellingsen

We compute the expectations of the squares of the electric and magnetic fields in the vacuum region outside a half-space filled with a uniform dispersive dielectric. We find a positive energy density of the electromagnetic field which…

Quantum Physics · Physics 2009-11-07 V. Sopova , L. H. Ford

A noncommutative complex scalar field, satisfying the deformed canonical commutation relations proposed by Carmona et al. [27]-[31], is constructed. Using these noncommutative deformed canonical commutation relations, a model describing the…

High Energy Physics - Theory · Physics 2012-06-19 Farid Khelili

In quantum theory it is generally assumed that there exists a special state called the vacuum state and that this state is a lower bound to the energy. However it has recently been demonstrated that this is not necessarily the case for some…

Quantum Physics · Physics 2009-04-21 Dan Solomon

In this letter we propose a new interpretation of the Casimir effect. Concretely, we show that the Casimir energy can be written as the quantum ``Von Neumann'' entropy associated to a 2-qubit, mixed pseudo-density matrix of the relevant…

Quantum Physics · Physics 2025-01-27 Antonino Flachi , Gonçalo M. Quinta

Several problems at the interface between the field-theoretical description of the Casimir effect and experiments on measuring the Casimir force are discussed. One of these problems is connected with the definition of the Casimir free…

Quantum Physics · Physics 2010-04-21 V. M. Mostepanenko

We consider the Casimir effect of a massive vector field between two semi-infinite dielectric slabs. We first derive the generalization of the Lifshitz formula that gives the Casimir interaction energy of two magnetodielectric slabs…

Quantum Physics · Physics 2015-06-05 L. P. Teo

We present a rigorous, regularization independent local quantum field theoretic treatment of the Casimir effect for a quantum scalar field of mass $\mu\ne0$ which yields closed form expressions for the energy density and pressure. As an…

General Relativity and Quantum Cosmology · Physics 2015-05-13 G. Gazzola , M. C. Nemes , W. F. Wreszinski

The Casimir force, which results from the confinement of the quantum mechanical zero-point fluctuations of the electromagnetic fields, has received significant attention in recent years for its effect on micro- and nano-scale mechanical…

Atomic Physics · Physics 2009-11-13 J. N. Munday , Federico Capasso

We discuss a numerical relation between the cosmological constant and the vacuum energy arising from the Casimir effect in extra dimensions

High Energy Physics - Phenomenology · Physics 2007-05-23 A. C. Melissinos

In 1+3 (threading) formulation of general relativity spacetime behaves analogous to a medium with a specific index of refraction with respect to the light propagation. Accepting the reality of zero point energy, through the equivalence…

General Relativity and Quantum Cosmology · Physics 2010-10-07 M. Nouri-Zonoz

The existence of irreducible field fluctuations in vacuum is an important prediction of quantum theory. These fluctuations have many observable consequences, like the Casimir effect which is now measured with good accuracy and agreement…

Quantum Physics · Physics 2015-06-26 Serge Reynaud , Astrid Lambrecht , Cyriaque Genet , Marc-Thierry Jaekel

The dynamical Casimir effect for the ideal case of two perfectly conducting non-charged parallel plates, is discussed using the zero-point energy summation method to the first order in perturbation theory. We show that it is possible to…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Sassaroli , Y. N. Srivastava , J. Swain , A. Widom

Zero-frequency Casimir theory is analyzed from different viewpoints, focusing on the Drude-plasma issue that turns up when one considers thermal corrections to the Casimir force. The problem is that the plasma model, although leaving out…

Quantum Physics · Physics 2016-05-11 Johan S. Høye , Iver Brevik

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

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