Scattering in Three Dimensional Extremal Black Holes

Details Scattering in Three Dimensional Extremal Black Holes Scattering in Three Dimensional Extremal Black Holes

2000-06-02

arxiv.org/abs/hep-th/0006020v3

Class.Quant.Grav.18:225-232,2001

Physics

High Energy Physics

High Energy Physics - Theory

clarifications and an appendix is added, to will appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/18/2/302

An approach to scattering theory in three dimensional AdS spaces is proposed. Firstly we consider the scattering of spinless relativistic particles by a three dimensional extremal black hole and compute the absorption cross section $\sigma_{abs} =J_{abs}/J_{\infty}$ without using {\it in} and {\it out} states. Secondly, we posit a reciprocal space ${\cal H}$ where {\it in} and {\it out} states and the scattering amplitude is defined as in usual scattering theory. We show that both descriptions are equivalent and ${\cal H}$ could be considered as the space where the scattering processes in AdS should be defined.

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