A WKB approach to scalar fields dynamics in curved space-time

Details A WKB approach to scalar fields dynamics in curved space-time A WKB approach to scalar fields dynamics in curved space-time

2006-03-06

arxiv.org/abs/hep-th/0603042v1

Nucl.Phys.B742:253-274,2006

Physics

High Energy Physics

High Energy Physics - Theory

Accepted for publication in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2006.03.001

Quantum fields exhibit non-trivial behaviours in curved space-times, especially around black holes or when a cosmological constant is added to the field equations. A new scheme, based on the Wentzel-Kramers-Brillouin (WKB) approximation is presented. The main advantage of this method is to allow for a better physical understanding of previously known results and to give good orders of magnitude in situations where no other approaches are currently developed. Greybody factors for evaporating black holes are rederived in this framework and the energy levels of scalar fields in the Anti-de Sitter (AdS) spacetime are accurately obtained. Stationary solutions in the Schwarzschild-Anti-de Sitter (SAdS) background are investigated. Some improvements and the basics of a line of thought for more complex situations are suggested.

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