Quantum vacuum effects in braneworlds on AdS bulk
- URL: http://arxiv.org/abs/2009.14674v2
- Date: Thu, 15 Oct 2020 16:53:15 GMT
- Title: Quantum vacuum effects in braneworlds on AdS bulk
- Authors: A. A. Saharian
- Abstract summary: Two geometries are considered: a brane parallel to the AdS boundary and a brane intersecting the AdS boundary.
The contribution in the vacuum expectation value (VEV) of the energy-momentum tensor is separated explicitly.
The influence of the gravitational field on the local properties of the quantum vacuum is essential at distance from the brane.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We review the results of investigations for brane-induced effects on the
local properties of quantum vacuum in background of AdS spacetime. Two
geometries are considered: a brane parallel to the AdS boundary and a brane
intersecting the AdS boundary. For both these cases the contribution in the
vacuum expectation value (VEV) of the energy-momentum tensor is separated
explicitly and its behavior in various asymptotic regions of the parameters is
studied. It is shown that the influence of the gravitational field on the local
properties of the quantum vacuum is essential at distance from the brane larger
than the AdS curvature radius. In the geometry with a brane parallel to the AdS
boundary the VEV of the energy-momentum tensor is considered for scalar field
with the Robin boundary condition, for Dirac field with the bag boundary
condition and for the electromagnetic field. In the latter case two types of
boundary conditions are discussed. The first one is a generalization of the
perfect conductor boundary condition and the second one corresponds to the
confining boundary condition used in QCD for gluons. For the geometry of a
brane intersecting the AdS boundary, the case of a scalar field is considered.
The corresponding energy-momentum tensor, apart from the diagonal components,
has nonzero off-diagonal component. As a consequence of the latter, in addition
to the normal component, the Casimir force acquires a component parallel to the
brane.
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