Fermions scattering in a three dimensional extreme black hole background

Details Fermions scattering in a three dimensional extreme black hole background Fermions scattering in a three dimensional extreme black hole background

2003-02-06

arxiv.org/abs/hep-th/0302035v2

Class.Quant.Grav. 20 (2003) 2417-2428

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, RevTex4. Revised version. To be published in Class. Quantum. Grav

Scientific paper

10.1088/0264-9381/20/11/330

The absorption cross section for scattering of fermions off an extreme BTZ black hole is calculated. It is shown that, as in the case of scalar particles, an extreme BTZ black hole exhibits a vanishing absorption cross section, which is consistent with the vanishing entropy of such object. Additionally, we give a general argument to prove that the particle flux near the horizon is zero. Finally we show that the {\it reciprocal space} introduced previously in \cite{gm} gives rise to the same result and, therefore, it could be considered as the space where the scattering process takes place in an AdS spacetime.

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