Closed formula for the matrix elements of the volume operator in canonical quantum gravity
From MaRDI portal
Publication:4260479
DOI10.1063/1.532259zbMath1001.83024arXivgr-qc/9606091OpenAlexW2007109887MaRDI QIDQ4260479
Publication date: 8 December 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/gr-qc/9606091
Quantization of the gravitational field (83C45) Applications of Lie groups to the sciences; explicit representations (22E70)
Related Items (22)
A length operator for canonical quantum gravity ⋮ Simplifying the spectral analysis of the volume operator ⋮ Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity ⋮ Causal evolution of spin networks ⋮ Note on quantum entanglement and quantum geometry ⋮ Discrete approaches to quantum gravity in four dimensions ⋮ Review on hermiticity of the volume operators in loop quantum gravity ⋮ Loop quantum gravity ⋮ Reduced phase space approach to the U(1)3 model for Euclidean quantum gravity ⋮ Reduced loop quantization with four Klein–Gordon scalar fields as reference matter ⋮ Loop quantum gravity ⋮ The length operator in loop quantum gravity ⋮ Loop quantum gravity ⋮ Quantum gravity: A brief history of ideas and some prospects ⋮ Physical properties of quantum field theory measures ⋮ Volume entropy ⋮ ENTROPY AND AREA IN LOOP QUANTUM GRAVITY ⋮ The quantum tetrahedron and the length spectrum ⋮ Vassiliev invariants: a new framework for quantum gravity. ⋮ QUANTUM GEOMETRY AND THE BIG BANG ⋮ Covariant origin of the U(1)3 model for Euclidean quantum gravity ⋮ Minimal length scale scenarios for quantum gravity
Cites Work
- Unnamed Item
- Generalized measures in gauge theory
- Simplifying the spectral analysis of the volume operator
- Discreteness of area and volume in quantum gravity
- On the support of the Ashtekar-Lewandowski measure
- Differential geometry on the space of connections via graphs and projective limits
- Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
- Representations of the holonomy algebras of gravity and nonAbelian gauge theories
- The inverse loop transform
- A length operator for canonical quantum gravity
- On the relation between the connection and the loop representation of quantum gravity
- Volume and quantizations
- Quantum theory of geometry: I. Area operators
- Matrix elements of Thiemann's Hamiltonian constraint in loop quantum gravity
- Quantum spin dynamics (QSD)
- Physical properties of quantum field theory measures
- Projective techniques and functional integration for gauge theories
- Quantum spin dynamics (QSD): V. Quantum gravity as the natural regulator of the Hamiltonian constraint of matter quantum field theories
- Quantum spin dynamics (QSD): III. Quantum constraint algebra and physical scalar product in quantum general relativity
This page was built for publication: Closed formula for the matrix elements of the volume operator in canonical quantum gravity
