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12 papers · 1 filter
The semiclassical approximation to quantum gravity
C. Kiefer
A detailed review is given of the semiclassical approximation to quantum gravity in the canonical framework. This includes in particular the derivation of the functional Schrödinge…
What is the Geometry of Superspace ?
Domenico Giulini
We investigate certain properties of the Wheeler-DeWitt metric (for constant lapse) in canonical General Relativity associated with its non-definite nature. Contribution to the con…
Gauging and symplectic blowing up in nonlinear sigma-models: I. point singularities
H. B. Gao, H. Römer
In this paper a two dimensional non-linear sigma model with a general symplectic manifold with isometry as target space is used to study symplectic blowing up of a point singularit…
The Dynamics of Relativistic Membranes II: Nonlinear Waves and Covariantly Reduced Membrane Equations
Martin Bordemann, Jens Hoppe
By explicitly eliminating all gauge degrees of freedom in the -gauge description of a classical relativistic (open) membrane moving in $\Real^3$ we derive a -dimensional…
Toeplitz Quantization of Kähler Manifolds and
Martin Bordemann, Eckhard Meinrenken, Martin Schlichenmaier
For general compact Kähler manifolds it is shown that both Toeplitz quantization and geometric quantization lead to a well-defined (by operator norm estimates) classical limit. Thi…
Quantum Gravity and Non-unitarity in Black Hole Evaporation
Claus Kiefer, Rainer Mueller, Tejinder P. Singh
We discuss the relevance of quantum gravitational corrections to the functional Schrödinger equation for the information loss paradox in black hole evaporation. These corrections a…