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Born--Oppenheimer decomposition for quantum fields on quantum spacetimes
Kristina Giesel, Johannes Tambornino, Thomas Thiemann
Quantum Field Theory on Curved Spacetime (QFT on CS) is a well established theoretical framework which intuitively should be a an extremely effective description of the quantum nat…
On the Relation between Rigging Inner Product and Master Constraint Direct Integral Decomposition
Muxin Han, Thomas Thiemann
Canonical quantisation of constrained systems with first class constraints via Dirac's operator constraint method proceeds by the thory of Rigged Hilbert spaces, sometimes also cal…
On the Relation between Operator Constraint --, Master Constraint --, Reduced Phase Space --, and Path Integral Quantisation
Muxin Han, Thomas Thiemann
Path integral formulations for gauge theories must start from the canonical formulation in order to obtain the correct measure. A possible avenue to derive it is to start from the…
Canonical path integral measures for Holst and Plebanski gravity. I. Reduced Phase Space Derivation
Jonathan Engle, Muxin Han, Thomas Thiemann
An important aspect in defining a path integral quantum theory is the determination of the correct measure. For interacting theories and theories with constraints, this is non-triv…
LTB spacetimes in terms of Dirac observables
K. Giesel, J. Tambornino, T. Thiemann
The construction of Dirac observables, that is gauge invariant objects, in General Relativity is technically more complicated than in other gauge theories such as the standard mode…