Quantization of scalar perturbations in brane-world inflation
Nov, 200414 pages
Published in:
- Phys.Rev.D 71 (2005) 043519
e-Print:
- hep-th/0411056 [hep-th]
Report number:
- UTAP-505
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Abstract:
We consider a quantization of scalar perturbations about a de Sitter brane in a 5-dimensional anti-de Sitter (AdS) bulk spacetime. We first derive the second order action for a master variable for 5-dimensional gravitational perturbations. For a vacuum brane, there is a continuum of normalizable Kaluza-Klein (KK) modes with . There is also a light radion mode with which satisfies the junction conditions for two branes, but is non-normalizable for a single brane model. We perform the quantization of these bulk perturbations and calculate the effective energy density of the projected Weyl tensor on the barne. If there is a test scalar field perturbation on the brane, the mode together with the zero-mode and an infinite ladder of discrete tachyonic modes become normalizable in a single brane model. This infinite ladder of discrete modes as well as the continuum of KK modes with introduce corrections to the scalar field perturbations at first-order in a slow-roll expansion. We derive the second order action for the Mukhanov-Sasaki variable coupled to the bulk perturbations which is needed to perform the quantization and determine the amplitude of scalar perturbations generated during inflation on the brane.- 04.50.+h
- 98.80.Cq
- inflation
- membrane model
- perturbation: scalar
- perturbation: quantization
- dimension: 5
- space-time: anti-de Sitter
- energy: density
- radiation
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