# Finite-temperature Casimir effect in Randall–Sundrum models

@article{Rypestl2009FinitetemperatureCE, title={Finite-temperature Casimir effect in Randall–Sundrum models}, author={Marianne Rypest{\o}l and Iver Brevik}, journal={New Journal of Physics}, year={2009}, volume={12}, pages={013022} }

The finite-temperature Casimir effect for a scalar field in the bulk region of two Randall–Sundrum models, RSI and RSII, is studied. We calculate the Casimir energy and the Casimir force for two parallel plates with separation a on the visible brane in the RSI model. High-temperature and low-temperature cases are covered. Attraction versus repulsion of the temperature correction to the force is discussed in the special cases of Dirichlet–Dirichlet, Neumann–Neumann and Dirichlet–Neumann boundary…

## 20 Citations

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### The Horava–Lifshitz modifications of the Casimir effect at finite temperature revisited

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We investigate the Casimir force for parallel plates at finite temperature in the Horava–Lifshitz (HL) theory. We find that the HL exponent cannot be chosen as an integer, or the Casimir energy will…

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- 2010

We study the finite temperature Casimir effect on a pair of parallel perfectly conducting plates in Randall-Sundrum model without using the scalar field analogy. Two different ways of interpreting…

### Casimir Effect at Finite Temperature in the Presence of One Fractal Extra Compactified Dimension

- Physics
- 2012

We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified…

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- 2011

In this paper we utilize ζ-function regularization techniques in order to compute the Casimir force for massless scalar fields subject to Dirichlet and Neumann boundary conditions in the setting of…

### Electromagnetic Casimir piston in higher dimensional spacetimes

- Physics
- 2011

We consider the Casimir effect of the electromagnetic field in a higher-dimensional spacetime of the form MxN, where M is the four-dimensional Minkowski spacetime and N is an n-dimensional compact…

### Fermionic Casimir densities in anti-de Sitter spacetime

- Physics
- 2013

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…

### Gluing Formula for Casimir Energies

- MathematicsSymmetry
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A “gluing formula” well known in mathematics is proved and related with Casimir forces in piston configurations, which encodes all the information about those forces at the center of the Dirichlet-to-Neumann operator.

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