63 citations · 63 across the 1 of their papers we have counts for
7 papers
Algebraic Quantum Gravity (AQG) III. Semiclassical Perturbation Theory
K. Giesel, T. Thiemann
In the two previous papers of this series we defined a new combinatorical approach to quantum gravity, Algebraic Quantum Gravity (AQG). We showed that AQG reproduces the correct in…
Consistency Check on Volume and Triad Operator Quantisation in Loop Quantum Gravity I
Kristina Giesel, Thomas Thiemann
The volume operator plays a pivotal role for the quantum dynamics of Loop Quantum Gravity (LQG). It is essential in order to construct Triad operators that enter the Hamiltonian co…
Unboundedness of Triad -- Like Operators in Loop Quantum Gravity
Johannes Brunnemann, Thomas Thiemann
In this paper we deliver the proofs for the claims, made in a companion paper, concerning the avoidance of cosmological curvature singularities in in full Loop Quantum Gravity (LQG…
Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories
Bianca Dittrich, Thomas Thiemann
This is the fourth paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. We now move on to fr…
Testing the Master Constraint Programme for Loop Quantum Gravity III. SL(2,R) Models
Bianca Dittrich, Thomas Thiemann
This is the third paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. In this work we analy…
Testing the Master Constraint Programme for Loop Quantum Gravity II. Finite Dimensional Systems
Bianca Dittrich, Thomas Thiemann
This is the second paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. In this work we begi…