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arXiv · 0909.0145

Finite Temperature Casimir Effect in Randall-Sundrum Models

Marianne Rypestøl·Iver Brevik
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Abstract

The finite temperature Casimir effect for a scalar field in the bulk region of the 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. Attractiveness versus repulsiveness of the temperature correction to the force is discussed in the typical special cases of Dirichlet-Dirichlet, Neumann-Neumann, and Dirichlet-Neumann boundary conditions at low temperature. The Abel-Plana summation formula is made use of, as this turns out to be most convenient. Some comments are made on the related contemporary literature.

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Marianne Rypestøl, Iver Brevik. 2009-12-03. Finite Temperature Casimir Effect in Randall-Sundrum Models. https://doi.org/10.1088/1367-2630%2F12%2F1%2F013022

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