Wightman function and the Casimir effect for a Robin sphere in a constant curvature space

@article{Bellucci2014WightmanFA,
  title={Wightman function and the Casimir effect for a Robin sphere in a constant curvature space},
  author={Stefano Bellucci and Aram A. Saharian and N. A. Saharyan},
  journal={The European Physical Journal C},
  year={2014},
  volume={74},
  pages={1-19}
}
We evaluate the Wightman function, the mean field squared and the vacuum expectation value of the energy–momentum tensor for a scalar field with the Robin boundary condition on a spherical shell in the background of a constant negative curvature space. For the coefficient in the boundary condition there is a critical value above which the scalar vacuum becomes unstable. In both the interior and the exterior regions, the vacuum expectation values are decomposed into the boundary-free and sphere… 

The Casimir Densities for a Sphere in the Milne Universe

The influence of a spherical boundary on the vacuum fluctuations of a massive scalar field is investigated in the background of a ( D + 1 ) -dimensional Milne universe, assuming that the field obeys

Casimir densities induced by a sphere in the hyperbolic vacuum of de Sitter spacetime

Complete set of modes and the Hadamard function are constructed for a scalar field inside and outside a sphere in (D+1)-dimensional de Sitter spacetime foliated by negative constant curvature spaces.

Casimir Effect in Hemisphere Capped Tubes

In this paper we investigate the vacuum densities for a massive scalar field with general curvature coupling in background of a (2 + 1)-dimensional spacetime corresponding to a cylindrical tube with

Casimir effect for scalar current densities in topologically nontrivial spaces

We evaluate the Hadamard function and the vacuum expectation value (VEV) of the current density for a charged scalar field, induced by flat boundaries in spacetimes with an arbitrary number of

J ul 2 02 1 Casimir densities induced by a sphere in the hyperbolic vacuum of de Sitter spacetime

Complete set of modes and the Hadamard function are constructed for a scalar field inside and outside a sphere in (D+1)-dimensional de Sitter spacetime foliated by negative constant curvature spaces.

References

SHOWING 1-10 OF 120 REFERENCES

Scalar Casimir effect for D-dimensional spherically symmetric Robin boundaries

The vacuum expectation values for the energy-momentum tensor of a massive scalar field with general curvature coupling and obeying the Robin boundary condition on spherically symmetric boundaries in

Casimir densities for a spherical boundary in de Sitter spacetime

Two-point functions, mean-squared fluctuations, and the vacuum expectation value of the energy-momentum tensor operator are investigated for a massive scalar field with an arbitrary curvature

Casimir densities for a plate in de Sitter spacetime

The Wightman function, the vacuum expectation values of the field squared and the energy–momentum tensor are investigated for a scalar field with a general curvature coupling parameter in the

Casimir effect for parallel plates in de Sitter spacetime

The Wightman function and the vacuum expectation values of the field squared and of the energy-momentum tensor are obtained, for a massive scalar field with an arbitrary curvature coupling parameter,

Casimir densities from coexisting vacua

Wightman function, the vacuum expectation values (VEVs) of the field squared and the energy-momentum tensor are investigated for a massive scalar field with general curvature coupling in a

Scalar Casimir densities induced by a cylindrical shell in de Sitter spacetime

We evaluate the positive-frequency Wightman function, the vacuum expectation values (VEVs) of the field squared, and the energy–momentum tensor for a massive scalar field with general curvature

CASIMIR EFFECT IN DE SITTER SPACETIME

The vacuum expectation value of the energy-momentum tensor and the Casimir forces are investigated for a massive scalar field with an arbitrary curvature coupling parameter in the geometry of two

Fermionic Casimir densities in anti-de Sitter spacetime

The fermionic condensate and vacuum expectation value of the energy-momentum tensor, for a massive fermionic field on the background of anti-de Sitter spacetime, in the geometry of two parallel

Wightman function and vacuum fluctuations in higher dimensional brane models

The Wightman function and the vacuum expectation value of the field square are evaluated for a massive scalar field with a general curvature coupling parameter subject to Robin boundary conditions on
...