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Hamiltonian Theory: Dynamics

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arxiv 2303.18172 v1 pith:QTV52GID submitted 2023-03-31 gr-qc hep-th

Thomas Thiemann , Kristina Giesel This is my paper · ORCID
classification gr-qchep-th
keywords dynamicsequationshamiltonianphysicalquantumalgebracalledcanonical
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This chapter focuses on the status of the implementation of the dynamics in the canonical version of Loop Quantum Gravity (LQG). Concretely this means to provide a mathematical meaning of the quantum Einstein equations, sometimes called Wheeler-DeWitt equations, to give a physical interpretation and Hilbert space structure to its solutions and to construct a representation of the algebra of observables including a physical Hamiltonian. This is a structural overview intentionally skipping technical details.

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Cited by 1 Pith paper

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  1. The one-loop effective action from the coherent state path integral of loop quantum gravity

    gr-qc 2025-02 conditional novelty 6.0 of 10

    The one-loop effective action from the LQG coherent state path integral is computed and found to be UV-finite, with the dynamical area j0 > 0 at the quantum level.

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