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We study the Casimir effect of a membrane embedded in 2+1 dimensions flat cone generated by a massive particle located at the origin of the coordinate system. The flat cone is an exact solution of the nonprojectable Horava theory, similar…

High Energy Physics - Theory · Physics 2023-09-20 Claudio Bórquez , Byron Droguett

In this paper, we extend previous results on the quantum vacuum or Casimir energy, for a noninteracting rotating system and for an interacting nonrotating system, to the case where both rotation and interactions are present. Concretely, we…

High Energy Physics - Theory · Physics 2023-02-02 Antonino Flachi , Matthew Edmonds

The effective potentials for massless scalar and vector quantum field theories on D dimensional manifolds with p compact noncommutative extra dimensions are evaluated by means of dimensional regularization implemented by zeta function…

High Energy Physics - Theory · Physics 2009-10-31 A. A Bytsenko , A. E. Goncalves , S. Zerbini

We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed…

Quantum Physics · Physics 2010-08-23 Sahand Jamal Rahi , Thorsten Emig , Noah Graham , Robert L. Jaffe , Mehran Kardar

We develop an exact method for computing the Casimir energy between arbitrary compact objects, both with boundary conditions for a scalar field and dielectrics or perfect conductors for the electromagnetic field. The energy is obtained as…

Quantum Physics · Physics 2008-11-26 T. Emig , R. L. Jaffe

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be efficiently computed by consideration of the vacuum fluctuations that are…

Statistical Mechanics · Physics 2008-07-31 Eugene B. Kolomeisky , Joseph P. Straley

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…

Mathematical Physics · Physics 2020-02-19 J. M. Muñoz-Castañeda , M. Bordag , L. Santamaría-Sanz

In this note we calculate the Casimir effect of free thermal gravitons in Einstein universe and discuss how it changes the entropy bound condition proposed recently by Verlinde [hep-th/0008140] as a higher dimensional generalization of…

High Energy Physics - Theory · Physics 2009-10-31 Feng-Li Lin

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

In odd-dimensional spaces, gauge invariance permits a Chern-Simons mass term for the gauge fields in addition to the usual Maxwell-Yang-Mills kinetic energy term. We study the Casimir effect in such a (2+1)-dimensional Abelian theory. For…

High Energy Physics - Theory · Physics 2007-05-23 Kimball A. Milton

Herein the Casimir effect is used to present a simple macroscopic view on creating exotic matter. The energy arising between two nearly perfectly conducting parallel plates is shown to become increasingly negative as the plate separation is…

General Physics · Physics 2007-05-23 C. T. Ridgely

We extend previous work on the vacuum energy of a massless scalar field in the presence of singular potentials. We consider a single sphere denoted by the so-called "delta-delta prime" interaction. Contrary to the Dirac delta potential, we…

High Energy Physics - Theory · Physics 2023-01-18 C. Romaniega , J. M. Munoz-Castaneda , I. Cavero-Pelaez

Using the covariant electromagnetic Casimir effect (previously introduced for real conducting cylindrical shells [1]), the Casimir force experienced by a spherical shell, under Dirichlet boundary condition, is calculated. The…

General Physics · Physics 2016-08-30 H. Razmi , M. Abtahi

We study the Casimir effect due to a massive vector field in a system of two parallel plates made of real materials, in an arbitrary magnetodielectric background. The plane waves satisfying the Proca equations are classified into transverse…

Quantum Physics · Physics 2010-11-11 L. P. Teo

We analyze the role of boundaries in the infrared behavior of quantum field theories. By means of a novel method we calculate the vacuum energy for a massless scalar field confined between two homogeneous parallel plates with the most…

High Energy Physics - Theory · Physics 2013-07-16 M. Asorey , J. M Munoz-Castaneda

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…

High Energy Physics - Theory · Physics 2009-11-10 E. Elizalde , A. C. Tort

The Casimir effect in graphene systems is reviewed with emphasis made on the large thermal correction to the Casimir force predicted at short separations between the test bodies. The computational results for the Casimir pressure and for…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

In this article we consider the Casimir energy and force of massless Majorana fermions and vector bosons between parallel plates. The vector bosons satisfy perfect electric conductor boundary conditions while the Majorana fermions satisfy…

High Energy Physics - Theory · Physics 2011-01-04 V. K. Oikonomou , N. D. Tracas

Recent work on non proper-gauge degrees of freedom in the context of the Casimir effect is reviewed. In his original paper, Casimir starts by pointing out that, when the electromagnetic field is confined between two perfectly conducting…

High Energy Physics - Theory · Physics 2020-01-01 Glenn Barnich , Martin Bonte

Casimir energy is a nonlocal effect; its magnitude cannot be deduced from heat kernel expansions, even those including the integrated boundary terms. On the other hand, it is known that the divergent terms in the regularized (but not yet…

Quantum Physics · Physics 2008-11-26 S. A. Fulling
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