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We reconsider the thermal scalar Casimir effect for $p$-dimensional rectangular cavity inside $D+1$-dimensional Minkowski space-time. We derive rigorously the regularization of the temperature-dependent part of the free energy by making use…

高能物理 - 理论 · 物理学 2015-06-18 Rui-hui Lin , Xiang-hua Zhai

The Casimir force on a $D$-dimensional sphere due to the confinement of a massless scalar field is computed as a function of $D$, where $D$ is a continuous variable that ranges from $-\infty$ to $\infty$. The dependence of the force on the…

高能物理 - 理论 · 物理学 2009-10-28 Carl M. Bender , Kimball A. Milton

We give a mini-review of scalar field theories with second-derivative Lagrangians, whose field equations are second order. Some of these theories admit solutions violating the Null Energy Condition and having no obvious pathologies. We give…

高能物理 - 理论 · 物理学 2015-06-18 V. A. Rubakov

The infrared behavior of quantum field theories confined in bounded domains is strongly dependent on the shape and structure of space boundaries. The most significant physical effect arises in the behaviour of the vacuum energy. The Casimir…

高能物理 - 理论 · 物理学 2013-07-16 M. Asorey , J. M. Munoz-Castaneda

The Casimir effect for massless scalar fields satisfying Dirichlet boundary conditions on the parallel plates in the presence of one fractal extra compactified dimension is analyzed. We obtain the Casimir energy density by means of the…

高能物理 - 理论 · 物理学 2015-05-28 Hongbo Cheng

In this work, we obtain the Casimir energy for the real scalar field and the Elko neutral spinor field in a field theory at a Lifshitz fixed point (LP). We analyze the massless and the massive case for both fields using dimensional…

高能物理 - 理论 · 物理学 2020-05-20 R. V. Maluf , D. M. Dantas , C. A. S. Almeida

Non-trivial $\phi ^{4}$-theory is studied in a renormalisation group invariant approach inside a box consisting of rectangular plates and where the scalar modes satisfy periodic boundary conditions at the plates. It is found that the…

高能物理 - 唯象学 · 物理学 2009-10-22 K. Langfeld , F. Schm"user , H. Reinhardt

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…

广义相对论与量子宇宙学 · 物理学 2015-05-13 G. Gazzola , M. C. Nemes , W. F. Wreszinski

We compute the leading radiative correction to the Casimir force between two parallel plates in the $\lambda\Phi^4$ theory. Dirichlet and periodic boundary conditions are considered. A heuristic approach, in which the Casimir energy is…

高能物理 - 理论 · 物理学 2013-05-29 Luiz C. de Albuquerque , R. M. Cavalcanti

We consider a universe with a compact extra dimension and a cosmological constant emerging from a suitable ultraviolet cutoff on the zero point energy of the vacuum. We derive the Casimir force between parallel conducting plates as a…

天体物理学 · 物理学 2008-11-26 Leandros Perivolaropoulos

We re-evaluate the zero point Casimir energy for the case of a massive scalar field in $\mathbf{R}^{1}\times\mathbf{S}^{3}$ space, allowing also for deviations from the standard conformal value $\xi =1/6$, by means of zero temperature zeta…

高能物理 - 理论 · 物理学 2007-05-23 E Elizalde , A C Tort

Casimir effect in most general terms may be understood as a backreaction of a quantum system causing an adiabatic change of the external conditions under which it is placed. This paper is the second installment of a work scrutinizing this…

高能物理 - 理论 · 物理学 2009-11-11 Andrzej Herdegen

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

We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

高能物理 - 理论 · 物理学 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

The vacuum energy for a massless conformally coupled scalar field in a brane world set up, corresponding to de Sitter branes in a bulk anti-de Sitter spacetime, is calculated. We use the Euclidean version of the metric which can be…

高能物理 - 理论 · 物理学 2009-10-09 Wade Naylor , Misao Sasaki

We study the question of conditions for the existence of negative-energy states of particles in the absence of external fields in inertial and noninertial frames of reference. We show that in the nonrelativistic case in noninertial…

广义相对论与量子宇宙学 · 物理学 2023-10-17 A. A. Grib , Yu. V. Pavlov

We consider the finite temperature Casimir stress acting on the boundary of a D>=3 dimensional cavity due to the vacuum fluctuations of electromagnetic fields. Both perfectly conducting and infinitely permeable boundary conditions are…

数学物理 · 物理学 2015-06-15 L. P. Teo

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 2009-11-07 Kimball A. Milton

Using functional integral methods, we study the Casimir effect for the case of two infinite parallel plates in the QED vacuum, with (different) perfect electromagnetic boundary conditions applied to both plates. To enforce these boundary…

高能物理 - 理论 · 物理学 2024-07-01 David Dudal , Aaron Gobeyn , Thomas Oosthuyse , Sebbe Stouten , David Vercauteren

The Casimir effect for a massless scalar field on the helix boundary condition which is named as quantum spring is studied in our recent paper\cite{Feng}. In this paper, the Casimir effect of the quantum spring is investigated in…

高能物理 - 理论 · 物理学 2011-04-08 Xiang-hua Zhai , Xin-zhou Li , Chao-Jun Feng