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Finite-temperature Casimir effect in Randall-Sundrum models

Rypestøl, Marianne; Brevik, Iver Håkon
Journal article, Peer reviewed
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URI
http://hdl.handle.net/11250/2356235
Date
2010
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  • Institutt for energi og prosessteknikk [2712]
  • Publikasjoner fra CRIStin - NTNU [21000]
Original version
New Journal of Physics 2010, 12   10.1088/1367-2630/12/1/013022
Abstract
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. Hightemperature

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

conditions at low temperature. The Abel–Plana summation formula is used, as

this is found to be the most convenient. Some comments are made on the related

contemporary literature.
Publisher
IOP Publishing
Journal
New Journal of Physics

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