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

2003/02/28 by S. Lepe, Samuel Lepe, Fernando M ndez +5 · 22 citations
Physics and Astronomy · #Absorption cross section #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Entropy (arrow of time) #Fermion #Horizon #Quantum Electrodynamics and Casimir Effect #Scalar (mathematics) #Scattering #Scattering cross-section #Scattering length #hep-th

paper · pdf · doi:10.1088/0264-9381/20/11/330

published in Classical and Quantum Gravity 20(11), 2417-2427 (IOP Publishing) · 15 pages, RevTex4. Revised version. To be published in Class. Quantum. Grav

arxiv created 2003/04/17 · openalex publication_date 2003/05/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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 an object. Additionally, we give a general argument to prove that the particle flux near the horizon is zero. Finally, we show that the reciprocal space introduced previously in [1] 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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