Title page for ETD etd-3621112139711101

Type of Document Dissertation
Author Ahmad, Syed Alwi B.
URN etd-3621112139711101
Title Fermion Quantum Field Theory In Black-hole Spacetimes
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
Blecher, Marvin
Dennison, Brian K.
Mizutani, Tetsuro
Takeuchi, Tatsu
Chang, Lay Nam Committee Chair
  • General Relativity
  • Quantum Field Theory
Date of Defense 1997-04-18
Availability unrestricted
The need to construct a fermion quantum field theory in

black-hole spacetimes is an acute one. The study of

gravitational collapse necessitates the need of such. In

this dissertation, we construct the theory of free fermions

living on the static Schwarzschild black-hole and the

rotating Kerr black-hole. The construction capitalises

upon the fact that both black-holes are stationary

axisymmetric solutions to Einstein's equation. A

factorisability ansatz is developed whereby simple

quantum modes can be found, for such stationary

spacetimes with azimuthal symmetry. These modes are

then employed for the purposes of a canonical

quantisation of the corresponding fermionic theory. At

the same time, we suggest that it may be impossible to

extend a quantum field theory continuously across an

event horizon. This split of a quantum field theory ensures

the thermal character of the Hawking radiation. In our

case, we compute and prove that the spectrum of

neutrinos emitted from a black-hole via the Hawking

process is indeed thermal. We also study fermion

scattering amplitudes off the Schwarzschild black-hole.

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