Miguel E. Ortiz

Scalar field quantization on the (2+1)-dimensional black hole background.

The quantization of a massless conformally coupled scalar field on the 2+1 dimensional Anti de Sitter black hole background is presented. The Greens function is calculated, using the fact that the black hole is Anti de Sitter space with points identified, and taking into account the fact that the black hole spacetime is not globally hyperbolic. It is shown that the Greens function calculated in this way is the Hartle-Hawking Greens function. The Greens function is used to compute

Quantum three-dimensional de Sitter space

\langle T^\mu_\nu \rangle

Sum-over-histories origin of the composition laws of relativistic quantum mechanics and quantum cosmology.

, which is regular on the black hole horizon, and diverges at the singularity. A particle detector response function outside the horizon is also calculated and shown to be a fermi type distribution. The back-reaction from

Breakdown of the semiclassical approximation at the black hole horizon

\langle T_{\mu\nu} \rangle

Note on the semiclassical approximation in quantum gravity

is calculated exactly and is shown to give rise to a curvature singularity at

A geometric approach to free variable loop equations in discretized theories of 2D gravity

r=0

Boundary fields and renormalization group flow in the two-matrix model

and to shift the horizon outwards. For

Spin / disorder correlations and duality in the c = 1/2 string

M=0

Black hole thermodynamics from quantum gravity

a horizon develops, shielding the singularity. Some speculations about the endpoint of evaporation are discussed.

Quantum gravity effects at a black hole horizon

We compute the canonical partition function of 2+1 dimensional de Sitter space using the Euclidean