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In this paper, we presented the zero- and first-order radiative corrections to the Casimir energy for a massive scalar field confined with Dirichlet boundary condition in an open-ended rectangular waveguide. In the calculation procedure, we…

高能物理 - 理论 · 物理学 2018-08-09 M. A. Valuyan

The Casimir problem is usually posed as the response of a fluctuating quantum field to externally imposed boundary conditions. In reality, however, no interaction is strong enough to enforce a boundary condition on all frequencies of a…

高能物理 - 理论 · 物理学 2009-11-07 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , M. Scandurra , H. Weigel

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

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…

高能物理 - 理论 · 物理学 2016-11-09 Kimball A. Milton

A new method based on the Monte-Carlo calculation on the lattice is proposed to study the Casimir effect in the compact lattice U(1) theory with Wilson action. We have studied the standard Casimir problem with two parallel plane surfaces…

高能物理 - 格点 · 物理学 2009-01-15 Oleg Pavlovsky , Maxim Ulybyshev

We obtain new expressions for the Casimir energy between plates that are mimicked by the most general possible boundary conditions allowed by the principles of quantum field theory. This result enables to provide the quantum vacuum energy…

数学物理 · 物理学 2020-02-19 J. M. Muñoz-Castañeda , M. Bordag , L. Santamaría-Sanz

Casimir energy calculations for the conformally coupled massless scalar field for a wedge defined by three intersecting planes and for a pyramid with four triangular surfaces are presented. The group generated by reflections are employed in…

数学物理 · 物理学 2016-09-07 H. Ahmedov , I. H. Duru

In this article, we present the zero and first-order radiative correction to the Dirichlet Casimir energy for massive and massless scalar field confined in a rectangle. This calculation procedure was conducted in two spatial dimensions and…

高能物理 - 理论 · 物理学 2018-10-16 M. A. Valuyan

We review a simple technique for evaluating the vacuum energy stemming from non-trivial boundary conditions and review results for the Casimir energy of a massive fermionic field confined in a d+1-dimensional slab-bag and the effect of a…

量子物理 · 物理学 2009-11-11 F C Santos , A C Tort , E Elizalde

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

量子物理 · 物理学 2009-11-07 Timothy H. Boyer

We study the Casimir energy of a minimally coupled, real, massless scalar field outside a spherically symmetric background potential. We obtain a general expression for the null energy condition in d dimensions and explicit expressions for…

高能物理 - 理论 · 物理学 2014-11-18 Delia Schwartz Perlov , Ken D. Olum

We show through Schwinger's approach that in a static weak gravitational background, the Casimir Energy for a real massless scalar field obeying Dirichlet boundary conditions on rectangular plates is unaltered from it's flat space-time…

高能物理 - 理论 · 物理学 2021-02-03 A. P. C. M Lima , G. Alencar , R. R. Landim

We review and assess a part of the recent work on Casimir apparatuses in the weak gravitational field of the Earth. For a free, real massless scalar field subject to Dirichlet or Neumann boundary conditions on the parallel plates, the…

高能物理 - 理论 · 物理学 2010-10-19 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , George M. Napolitano , Luigi Rosa

The cosmological constant appearing in the Wheeler-De Witt equation is considered as an eigenvalue of the associated Sturm-Liouville problem. A variational approach with Gaussian trial wave functionals is used as a method to study such a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Remo Garattini

Vacuum expectation values of the energy-momentum tensor and the Casimir forces are evaluated for scalar and electromagnetic fields in the geometry of two curved boundaries on background of the Robertson-Walker spacetime with negative…

高能物理 - 理论 · 物理学 2010-11-12 A. A. Saharian , M. R. Setare

New results for scalar Casimir self-energies arising from interior modes are presented for the three integrable tetrahedral cavities. Since the eigenmodes are all known, the energies can be directly evaluated by mode summation, with a…

高能物理 - 理论 · 物理学 2015-06-03 E. K. Abalo , K. A. Milton , L. Kaplan

Several years ago we demonstrated that the Casimir energy for perfectly reflecting and imperfectly reflecting parallel plates gravitated normally, that is, obeyed the equivalence principle. At that time the divergences in the theory were…

高能物理 - 理论 · 物理学 2024-04-08 K. A. Milton , K. V. Shajesh , S. A. Fulling , Prachi Parashar

We calculate the energy-momentum tensor due to electromagnetic vacuum fluctuations between two parallel hyperplanes in more than four dimensions, considering both metallic and MIT boundary conditions. Using the axial gauge, the problem can…

量子物理 · 物理学 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus

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

The Casimir energy for scalar field of two parallel conductor in two dimensional domain wall background, with Dirichlet boundary conditions, is calculated by making use of general properties of renormalized stress tensor.We show that vacuum…

高能物理 - 理论 · 物理学 2009-10-31 M. R. Setare , A. H. Rezaeian