Bibliography of Publications related to Classical and Quantum Gravity in terms of the Ashtekar Variables

Abstract

This bibliography attempts to give a comprehensive overview of all the literature related to the Ashtekar variables. The original version was compiled by Peter Hübner in 1989, and it has been subsequently updated by Gabriela Gonzalez, Bernd Brügmann, and Troy Schilling. Information about additional literature, new preprints, and especially corrections are always welcome.

arXiv comment18 pages, LaTeX

References in corpus (39)

• The Cosmological Constant
• Weaving a classical geometry with quantum threads
• The physical hamiltonian in nonperturbative quantum gravity
• Canonical Quantization of Spherically Symmetric Gravity in Ashtekar's Self-Dual Representation
• Representation Theory of Analytic Holonomy C* Algebras
• Link Invariants of Finite Type and Perturbation Theory
• Consequences of Propagating Torsion in Connection-Dynamic Theories of Gravity
• Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity
• Gravitons and Loops
• A Striking Property of the Gravitational Hamiltonian
• A Real Polynomial Formulation of General Relativity in terms of Connections
• Unification of Gravity and Yang-Mills Theory in (2+1)-Dimensions
• Recent Developments in Non-Perturbative Quantum Gravity
• Self-dual gravity as a two dimensional theory and conservation laws
• The Non-perturbative Canonical Quantization of the N=1 Supergravity
• Self-dual gravity and the chiral model
• The Extended Loop Group: An Infinite Dimensional Manifold Associated with the Loop Space
• Unique determination of an inner product by adjointness relations in the algebra of quantum observables
• Topological Field Theory As The Key To Quantum Gravity
• Extended Loops: A New Arena for Nonperturbative Quantum Gravity
• Covariant Phase Space Formulation of Parametrized Field Theories
• The weaving of curved geometries
• Self Duality and Quantization
• Observables for spacetimes with two Killing field symmetries
• The Standard Model with gravity couplings
• An algebraic approach to the quantization of cosntrained systems: finite dimensional examples
• Loop Variable Inequalities in Gravity and Gauge Theory
• The Spin Holonomy Group In General Relativity
• Minisuperspaces: Symmetries and Quantization
• Ashtekar's New Variables and Positive Energy
• Geometric Structures and Loop Variables in (2+1)-Dimensional Gravity
• Non-Minimally Coupled Scalar Field and Ashtekar Variables
• Recent Developments in Classical and Quantum Theories of Connections, Including General Relativity
• On the solution of the initial value constraints for general relativity coupled to matter in terms of Ashtekar's variables
• The Gauss Linking Number in Quantum Gravity
• Knot Invariants for Intersecting Loops
• Cosmological "Ground State" Wave Functions in Gravity and Electromagnetism
• Ashtekar's Approach to Quantum Gravity
• Mtric from Non-Metric Action of Gravity

Cited by in corpus (5)

• Photons from quantized electric flux representations
• Ashtekar's formulation for $N=1,2$ supergravities as "constrained" BF theories
• Graphical Evolution of Spin Network States
• Reality conditions for Ashtekar variables as Dirac constraints
• A semiclassical interpretation of the topological solutions for canonical quantum gravity