Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models

• Main Author: Saharian, Aram A
• Format: Journal Article
• Language: English
• Published: 24-08-2005
• Subjects: Physics - General Relativity and Quantum Cosmology; Physics - High Energy Physics - Theory; Physics - Quantum Physics
• DOI: 10.48550/arxiv.hep-th/0508185

Phys.Rev.D73:064019,2006 Vacuum expectation value of the energy-momentum tensor and the vacuum
interaction forces are evaluated for a massive scalar field with general
curvature coupling parameter satisfying Robin boundary conditions on two
codimension one parallel branes embedded in background spacetime
$AdS_{D_1+1}\times \Sigma $ with a warped internal space $\Sigma $. The vacuum
energy-momentum tensor is presented as a sum of boundary-free, single brane
induced, and interference parts. The latter is finite everywhere including the
points on the branes and is exponentially small for large interbrane distances.
Unlike to the purely AdS bulk, the part induced by a single brane, in addition
to the distance from the brane, depends also on the position of the brane in
the bulk. The asymptotic behavior of this part is investigated for the points
near the brane and for the position of the brane close to the AdS horizon and
AdS boundary. The vacuum forces acting on the branes are presented as a sum of
the self-action and interaction terms. The interaction forces between the
branes are finite for all nonzero interbrane distances and are investigated as
functions of the brane positions and the length scale of the internal space. As
an example the case $\Sigma =S^{D_2}$ is considered. An application to the
higher dimensional generalization of the Randall-Sundrum brane model with
arbitrary mass terms on the branes is discussed.