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In this paper we calculate the Casimir energy for spherical shell with massless self-interacting scalar filed which satisfying Dirichlet boundary conditions on the shell. Using zeta function regularization and heat kernel coefficients we…

高能物理 - 理论 · 物理学 2007-05-23 M. R. Setare , R. Mansouri

If quantum fields exist in extra compact dimensions, they will give rise to a quantum vacuum or Casimir energy. That vacuum energy will manifest itself as a cosmological constant. The fact that supernova and cosmic microwave background data…

高能物理 - 理论 · 物理学 2014-12-10 Kimball A. Milton

New Casimir energy results for massless scalar field in some 3 -dimensional cavities are presented. We attempted to discuss the correlation between the sign and the magnitude of the energy and the shape of the cavities.

高能物理 - 理论 · 物理学 2017-08-23 H. Ahmedov , I. H. Duru

We study the Casimir energy of a massless scalar field that obeys Dirichlet boundary conditions on a hyperboloid facing a plate. We use the optical approximation including the first six reflections and compare the results with the…

高能物理 - 理论 · 物理学 2009-11-10 O. Schroeder , A. Scardicchio , R. L. Jaffe

We consider extra compact dimensions as the origin of a cosmological universal energy density in the regular dimensions, with only graviton fields propagating in the compact space dimensions. The quantum zero point energy originating from…

广义相对论与量子宇宙学 · 物理学 2015-09-03 Vikram Soni , Naresh Dadhich , Rathin Adhikari

We study the Casimir energy due to a quantum real scalar field coupled to two planar, infinite, zero-width, parallel mirrors with non-homogeneous properties. These properties are represented, in the model we use, by scalar functions defined…

高能物理 - 理论 · 物理学 2020-02-26 Cesar D. Fosco , Francisco D. Mazzitelli

It is pointed out that the Casimir energy in a medium can be obtained most directly from the zero-point energy of the electromagnetic field because of its reduced propagation velocity. This brings to the fore again the old problem related…

量子物理 · 物理学 2009-03-17 Finn Ravndal

The Casimir forces on two parallel plates in conformally flat domain wall background due to conformally coupled massless scalar field satisfying mixed boundary conditions on the plates is investigated. In the general case of mixed boundary…

高能物理 - 理论 · 物理学 2009-11-10 M. R. Setare

In this work we consider the dynamical Casimir effect for a massless scalar field -- under Dirichlet boundary conditions -- between two concentric spherical shells. We obtain a general expression for the average number of particle creation,…

量子物理 · 物理学 2009-11-13 F. Pascoal , L. C. Céleri , S. S. Mizrahi , M. H. Y. Moussa

We present a study of the static and dynamical Casimir effects for a quantum field theory satisfying generalized Robin boundary condition, of a kind that arises naturally within the context of quantum circuits. Since those conditions may…

高能物理 - 理论 · 物理学 2015-06-15 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

The CPT-even sector of the standard model extension amounts to extending Maxwell electrodynamics by a gauge invariant term of the form $- \frac{1}{4} (k _{F}) _{\alpha \beta \mu \nu} F ^{\alpha \beta} F ^{\mu \nu}$, where the…

高能物理 - 理论 · 物理学 2016-11-09 A. Martín-Ruiz , C. A. Escobar

In this paper we take a deeper look at the technically elementary but physically robust viewpoint in which the Casimir energy in dielectric media is interpreted as the change in the total zero point energy of the electromagnetic vacuum…

高能物理 - 理论 · 物理学 2009-10-30 Carmen Molina-Paris , Matt Visser

We study the finite-temperature Casimir effect for a massless scalar field confined between two parallel plates in a Schwarzschild-like wormhole spacetime. Imposing Dirichlet boundary conditions, we compute the renormalized Casimir free…

高能物理 - 理论 · 物理学 2026-05-27 Arista Romadani , Apriadi Salim Adam , Ar Rohim , Bintoro Anang Subagyo , Agus Purwanto

We apply the quasi-local stress-energy tensor formalism to the Casimir effect of a scalar field confined between conducting planes located in a static spacetime. We show that the surface energy vanishes for both Neumann and Dirichlet…

高能物理 - 理论 · 物理学 2022-10-07 Borzoo Nazari

This survey summarizes briefly results obtained recently in the Casimir energy studies devoted to the following subjects: i) account of the material characteristics of the media in calculations of the vacuum energy (for example, Casimir…

高能物理 - 理论 · 物理学 2016-10-05 V. V. Nesterenko , G. Lambiase , G. Scarpetta

Vacuum expectation values of the field square and the energy-momentum tensor for the electromagnetic field are investigated for the geometry of a wedge with a coaxal cylindrical boundary. All boundaries are assumed to be perfectly…

高能物理 - 理论 · 物理学 2008-11-26 A. A. Saharian

Unknown short-distance effects cancel the quartic divergence of the zero-point energies. If this renormalization took effect in the early universe after the last phase transition and applied only to modes whose wavelengths (over 2 pi) were…

高能物理 - 唯象学 · 物理学 2011-03-28 Kevin Cahill

We analyze the dynamical Casimir effect for a massless scalar field confined between two concentric spherical shells which impose on the field mixed boundary conditions. We thus complement a previous result [Phys. Rev. A \textbf{78}, 032521…

量子物理 · 物理学 2009-04-27 F. Pascoal , L. C. Céleri , S. S. Mizrahi , M. H. Y. Moussa , C. Farina

The problem of an enormously large energy density of the quantum vacuum is discussed in connection with the concept of renormalization of physical parameters in quantum field theory. Using the method of dimensional regularization, it is…

综合物理 · 物理学 2019-03-12 V. M. Mostepanenko , G. L. Klimchitskaya

Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we compute the renormalized vacuum expectation value of several observables (in particular, of the stress-energy tensor and of the…

数学物理 · 物理学 2016-02-09 Davide Fermi , Livio Pizzocchero