Abstract
The role of bulk matter quantum effects (via the corresponding effective potential discussed using the example of a conformal scalar) and of boundary matter quantum effects (via the conformal anomalyinduced effective action) is considered in brane-world cosmology.A scenario is used where brane tension is not a free parameter,and the initial classical bulk-brane action is defined by some considerations. The effective bulk-brane equations of motion arealso analysed.The quantum creation of a four-dimensional de Sitter or anti-de Sitter (AdS) braneuniverse living in five-dimensional AdS space is possible when quantum bulkand/or branematter is taken into account. The consideration of only conformal field theory (CFT) living on the brane admits the full analytical treatment. The bulk gravitational Casimir effect leads to deformations of five-dimensional AdS spaceand spherical/hyperbolic brane shapes. The generalization of the above scenario to dominant bulk quantum gravity naturally representsthis scenario as self-consistent warped compactification within an AdS/CFT set-up.
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