Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Bonzom, V., Laddha, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148376
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity / V. Bonzom, A. Laddha // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 119 назв. — англ.

We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian is presented, and then more recent approaches. They are based on toy mode...