# Consistency check on volume and triad operator quantization in loop quantum gravity: II

@article{Giesel2006ConsistencyCO, title={Consistency check on volume and triad operator quantization in loop quantum gravity: II}, author={Kristina Giesel and Thomas Thiemann}, journal={Classical and Quantum Gravity}, year={2006}, volume={23}, pages={5693 - 5771} }

In this paper, we provide the techniques and proofs for the results presented in our companion paper concerning the consistency check on volume and triad operator quantization in loop quantum gravity.

## 78 Citations

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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 constraint and which…

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The aim of this article is to provide rigorous-but-simple steps to prove the hermiticity of the volume operator of Rovelli–Smolin and Ashtekar–Lewandowski from the angular momentum calculation, as…