Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
arXiv:gr-qc/0509039
Abstract
This bibliography attempts to give a comprehensive overview of all the literature related to what is known as the Ashtekar-Sen connection and the Rovelli-Smolin loop variables, from which the program currently known as Loop Quantum Gravity emerged. The original version was compiled by Peter Huebner in 1989, and it has been subsequently updated by Gabriela Gonzalez, Bernd Bruegmann, Monica Pierri, Troy Schilling, Christopher Beetle, Alejandro Corichi and Alberto Hauser. The criteria for inclusion in this list are the following: A paper in the classical theory is included if it deals with connection variables for gravity. If the paper is in the quantum domain, it is included when it is related directly with gravity using connection/loop variables, with mathematical aspects of connections, or when it introduces techniques that might be useful for the construction of the (loop) quantum theory of gravity. Information about additional literature, new preprints, and especially corrections are always welcome.
46 pages
References in corpus (35)
- Black hole evaporation: A paradigm
- A "general boundary" formulation for quantum mechanics and quantum gravity
- Spherically Symmetric Quantum Geometry: States and Basic Operators
- A black hole mass threshold from non-singular quantum gravitational collapse
- Quantum gravity in terms of topological observables
- Loop Quantum Gravity and the Cyclic Universe
- The Bianchi IX model in Loop Quantum Cosmology
- Quantum suppression of the generic chaotic behavior close to cosmological singularities
- Ponzano-Regge model revisited II: Equivalence with Chern-Simons
- General relativity with a topological phase: an action principle
- The Volume Operator in Spherically Symmetric Quantum Geometry
- Schroedinger's cat and the clock: Lessons for quantum gravity
- Elements of Loop Quantum Cosmology
- States on timelike hypersurfaces in quantum field theory
- From 3-geometry transition amplitudes to graviton states
- Wilson loops in the light of spin networks
- A group field theory for 3d quantum gravity coupled to a scalar field
- Consistent and mimetic discretizations in general relativity
- The Early Universe in Loop Quantum Cosmology
- On the fate of Lorentz symmetry in loop quantum gravity and noncommutative spacetimes
- Origin of the Immirzi Parameter
- String quantization: Fock vs. LQG Representations
- Asymptotic Properties of Difference Equations for Isotropic Loop Quantum Cosmology
- On the counting of black hole states in loop quantum gravity
- Quantum Gravitational Collapse
- A Generalization of the Kodama State for Arbitrary Values of the Immirzi Parameter
- A More Sensitive Lorentzian State Sum
- Comments on area spectra in Loop Quantum Gravity
- Large volume quantum correction in loop quantum cosmology: Graviton illusion?
- Quantized black holes, correspondence principle, and holographic bound
- Counting the Apparent Horizon
- A numerical study of spectral properties of the area operator in loop quantum gravity
- The expectation value of the metric operator with respect to Gaussian weave state in loop quantum gravity
- Quantum Gravity and the Big Bang
- Spin Foam Models of Gravity and BF Theory as evolution of Spin Networks