Loop Quantum Gravity: An Inside View

2006/08/29 by T. Thiemann, Thomas Thiemann · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #astro-ph #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/978-3-540-71117-9_10

published as Lect.NotesPhys.721:185-263,2007 · 58 pages, no figures

arxiv created 2006/08/29 · openalex publication_date 2007/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

This is a (relatively) non -- technical summary of the status of the quantum dynamics in Loop Quantum Gravity (LQG). We explain in detail the historical evolution of the subject and why the results obtained so far are non -- trivial. The present text can be viewed in part as a response to an article by Nicolai, Peeters and Zamaklar [hep-th/0501114]. We also explain why certain no go conclusions drawn from a mathematically correct calculation in a recent paper by Helling et al [hep-th/0409182] are physically incorrect.

Citations

• Domain of Dependence
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• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• String quantization: Fock vs. LQG Representations
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• Representation Theory of Analytic Holonomy C* Algebras

Cited by

• General relativity [wikipedia]
• Loop quantum gravity [wikipedia]
• Quantum gravity [wikipedia]