234 citations · 1.4k across the 20 of their papers we have counts for
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Reduced phase space induced decay conditions
Thomas Thiemann
The definition of the phase space of field theories in presence of boundaries of Cauchy surfaces requires a choice of boundary conditions or decay behaviour of those fields. Often…
Covariant Origin of the model for Euclidean Quantum Gravity
Sepideh Bakhoda, Thomas Thiemann
The utility of the U(1) model as a test laboratory for quantum gravity has recently been emphasized in a recent series of papers due to Varadarajan et al. The simplification fr…
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 II
Kristina Giesel, Thomas Thiemann
In this paper we provide the techniques and proofs for the resuls presented in our companion paper concerning the consistency check on volume and triad operator quantisation in Loo…
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…