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We study the Casimir energy of a spherical shell of radius $a$ in $\kappa$-Minkowski spacetime for a complex field with an asymmetric ordering and obtain the energy up to $O(1/\kappa^2)$. We show that the vacuum breaks particle and…

高能物理 - 理论 · 物理学 2018-02-14 Hyeong-Chan Kim , Chaiho Rim , Jae Hyung Yee

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on…

高能物理 - 理论 · 物理学 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We consider and review the emergence of singular energy densities and field fluctuations at sharp boundaries or point-like field sources in the vacuum. The presence of singular energy densities of a field may be relevant from a conceptual…

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…

高能物理 - 理论 · 物理学 2009-11-10 A. A. Saharian , R. S. Davtyan , A. H. Yeranyan

$\mathrm{O}(N)$ vector models in three dimensions, when defined in a geometry with a compact direction and tuned to criticality, exhibit long-range fluctuations which induce a Casimir effect. The strength of the resulting interaction is…

统计力学 · 物理学 2025-12-23 Andrea Bulgarelli , Michele Caselle , Alessandro Nada , Marco Panero

The Casimir energy is constructed for a system consisting of two semi-infinite slabs of anisotropic material. Each of them is characterized by bulk complex dielectric permittivity tensor and surface conductivity on the free boundary. We…

介观与纳米尺度物理 · 物理学 2020-02-19 N. Emelianova , I. V. Fialkovsky , N. Khusnutdinov

The Casimir effect of an ideal Bose gas trapped in a generic power-law potential and confined between two slabs with Dirichlet, Neumann, and periodic boundary conditions is investigated systematically, based on the grand potential of the…

统计力学 · 物理学 2015-06-11 Tongling Lin , Guozhen Su , Qiuping A. Wang , Jincan Chen

The Casimir effect for Dirac as well as for scalar charged particles is influenced by external magnetic fields. It is also influenced by finite temperature. Here we consider the Casimir effect for a charged scalar field under the combined…

高能物理 - 理论 · 物理学 2007-05-23 M. V. Cougo-Pinto , C. Farina , M. R. Negrao , A. Tort

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,…

高能物理 - 理论 · 物理学 2021-07-07 Antonino Flachi , Vincenzo Vitagliano

Zero-point energy is generally known to be unphysical. Casimir effect, however, is often presented as a counterexample, giving rise to a conceptual confusion. To resolve the confusion we study foundational aspects of Casimir effect at a…

量子物理 · 物理学 2017-08-23 H. Nikolic

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…

高能物理 - 理论 · 物理学 2025-12-25 Andrea Erdas

We compute the finite temperature Casimir energy for massive scalar field with general curvature coupling subject to Dirichlet or Neumann boundary conditions on the walls of a closed cylinder with arbitrary cross section, located in a…

高能物理 - 理论 · 物理学 2009-12-04 L. P. Teo

We develop an exact method for computing the Casimir energy between arbitrary compact objects, either dielectrics or perfect conductors. The energy is obtained as an interaction between multipoles, generated by quantum current fluctuations.…

统计力学 · 物理学 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

The vacuum expectation value of the stress energy tensor for a massive scalar field with arbitrary coupling in flat spaces with non-trivial topology is discussed. We calculate the Casimir energy in these spaces employing the recently…

广义相对论与量子宇宙学 · 物理学 2007-05-23 N. Ahmadi , M. Nouri-Zonoz

The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to…

高能物理 - 理论 · 物理学 2020-02-07 A. P. C. M. Lima , G. Alencar , C. R. Muniz , R. R. Landim

The Casimir energy for massless scalar field of two parallel conductor, in two dimensional Schwarzchild black hole background, with Dirichlet boundary conditions is calculated by making use of general properties of renormalized stress…

高能物理 - 理论 · 物理学 2009-10-31 M. R. Setare

Vacuum fluctuations and the Casimir effect are considered in a cosmological setting. It is suggested that the dark energy, which recent observations suggest make up 73% of our universe, is vacuum energy due to a causal boundary effect at…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Pawel O. Mazur , Emil Mottola

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…

高能物理 - 理论 · 物理学 2012-06-19 Farid Khelili

Landau-Ginzburg $\phi^4$ field theory is usually applied to systems for understanding continuous phase transitions at critical points. Here we analyze the thermal field using a similar free energy description from a statistical field theory…

统计力学 · 物理学 2021-10-22 Venkat Abhignan , R. Sankaranarayanan

The Casimir densities are investigated for a massive spinor field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions. The vacuum expectation value of the energy-momentum tensor is presented in the…

高能物理 - 理论 · 物理学 2009-05-12 A. A. Saharian