Hawking Radiation of Dirac Fields in the (2+1)-Dimensional Black Hole space-time
S. Hyun, Y.-S. Song, J.H. Yee
TL;DR
This paper investigates Hawking radiation of massless Dirac fields in a (2+1)-dimensional black hole spacetime, showing the response function follows a Planck distribution with temperature consistent with scalar field cases.
Contribution
It extends previous studies by calculating the response function for Dirac fields in (2+1)-dimensional black holes and deriving Green's functions in related spacetimes.
Findings
Response function exhibits Planck distribution.
Temperature matches previous scalar field results.
Green's functions derived for Einstein static universe and anti de-Sitter space.
Abstract
By calculating the response function, we study the Hawking radiation of massless Dirac fields in the (2+1)-dimensional black hole geometry. We find that the response function has Planck distributions, with the temperature that agrees with the previous results obtained for the scalar field cases. We also find the Green's functions in (2+1)-dimensional Einstein static universe and anti de-Sitter space.
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