Abstract. The thermal Casimir effect in ideal metal rectangular boxes is considered using the method of zeta functional regularization. The renormalization procedure is suggested which provides the finite expression for the Casimir free energy in any restricted quantization volume. This expression satisfies the classical limit at high temperature and leads to zero thermal Casimir force for syst...

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 uniform proper acceleration through the Fulling–Rindler vacuum in an arbitrary number of spacetime dimension. For the geometry of a single plate both regions of th...

The Casimir force between an aluminum-coated plate with small sinusoidal corrugations and a large sphere was measured for surface separations between 0.1 and 0.9 mm using an atomic force microscope. The measured force shows significant deviation from the perturbative theory. The measured Casimir force between the same sphere and flat plate shows good agreement with the same theory in the limit ...

Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles. Abstract A technique for evaluating the electromagnetic Casimir energy in situations involving spherical or circular boundaries is presented. Zeta function regularization is unambiguously used from the start and the properties of Bessel and related zeta functions are central. Nontrivial results concer...

We use free boson techniques to investigate AD -E-quiver matrix models. Certain higher spin fields in the free boson formulation give rise to higher order loop equations valid at finite N. These fields form a special kind of W-algebra, called Casimir algebra. We compute explicitly the loop equations for A r and D r quiver models and check that at large N they are related to a deformation of the...

We provide a review of both new experimental and theoretical developments in the Casimir e ect. The Casimir e ect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus, the Casimir force is a ...

A new " polarized version " of the Casimir Effect is measurable Abstract We argue that the exactly computable, angle dependent, Casimir force between parallel plates with different directions of conductivity can be measured.

The difference of the thermal Casimir forces at different temperatures between real metals is shown to increase with a decrease of the separation distance. This opens new opportunities for the demonstration of the thermal dependence of the Casimir force. Both configurations of two parallel plates and a sphere above a plate are considered. Different approaches to the theoretical description of t...

In this paper, the Casimir effect for parallel plates in the presence of one compactified universal extra dimension is reexamined in detail. Having regularized the expressions of Casimir force, we show that the nature of Casimir force is repulsive if the distance between the plates is large enough, which is disagree with the experimental phenomena. PACS number(s): 11.10.Kk, 04.62.+v ∗E-mail add...

The Casimir energy of a dilute homogeneous nonmagnetic dielectric ball at zero temperature is derived analytically within a microscopic realistic model of dielectrics for an arbitrary physically possible frequency dispersion of dielectric permittivity ε(iω). Divergences are absent in calculations, a minimum interatomic distance λ is a physical cut-off. Casimir surface force is proved to be attr...