The Casimir Effect on Background of Conformally Flat BraneWorld Geometries.pdf

The Casimir Effect on Background of Conformally Flat Brane–World Geometries A. A. Saharian 1∗and M. R. Setare 2 † 1 Department of Physics, Yerevan State University, Yerevan, Armenia and 2 2 Institute for Theoretical Physics and Mathematics, Tehran, Iran 0 Department of Science, Physics Group, Kurdistan University, Sanandeg, Iran 0 2 February 1, 2008 c e D 4 Abstract 2 v The Casimir effect due to conformally coupled bulk scalar fields on background of con- 8 formally flat brane-world geometries is investigated. In the general case of mixed boundary 3 conditions formulae are derived for the vacuum expectation values of the energy-momentum 1 tensor and vacuum forces acting on boundaries. The special case of the AdS bulk is consid- 7 ered and the application to the Randall-Sundrum scenario is discussed. The possibility for 0 2 the radion stabilization by the vacuum forces is demonstrated. 0 / h t - p e h : v i X r a ∗E-mail: saharyan@www.physdep.r.am †E-mail: rezakord@ 1 1 Introduction The past few years witnessed a growing interest among particle physicists and cosmologists to- ward models with extra space-like dimensions. This interest was initiated by string theorists [1], who exploited a moderately large size of an external 11th dimension in order to reconcile the Planck and string/GUT scales. Taking this idea further, it was shown that large extra di- mensions allow for a reduction of the fundamental higher-dimensional gravitational scale down to the