Hamiltonian Theory: Dynamics
General Relativity and Quantum Cosmology
2023-04-03 v1 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.2303.18172,
title = {Hamiltonian Theory: Dynamics},
author = {Thomas Thiemann and Kristina Giesel},
journal= {arXiv preprint arXiv:2303.18172},
year = {2023}
}
Comments
52 pages. This is a preprint of a chapter to appear in the "Handbook of Quantum Gravity", edited by Cosimo Bambi, Leonardo Modesto and Ilya Shapiro, 2023, Springer, reproduced with permission of Springer