Finitetemperature Casimir effect in RandallSundrum models
Abstract
The finitetemperature Casimir effect for a scalar field in the bulk region of two RandallSundrum 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 lowtemperature cases are covered. Attraction versus repulsion of the temperature correction to the force is discussed in the special cases of DirichletDirichlet, NeumannNeumann and DirichletNeumann boundary conditions at low temperature. The AbelPlana summation formula is used, as this is found to be the most convenient. Some comments are made on the related contemporary literature.
 Publication:

New Journal of Physics
 Pub Date:
 January 2010
 DOI:
 10.1088/13672630/12/1/013022
 arXiv:
 arXiv:0909.0145
 Bibcode:
 2010NJPh...12a3022R
 Keywords:

 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 33 pages latex, 2 figures. Some changes in the discussion. To appear in New J. Phys