A new look at loop quantum gravity
arXiv:1004.1780 · doi:10.1088/0264-9381/28/11/114005
Abstract
I describe a possible perspective on the current state of loop quantum gravity, at the light of the developments of the last years. I point out that a theory is now available, having a well-defined background-independent kinematics and a dynamics allowing transition amplitudes to be computed explicitly in different regimes. I underline the fact that the dynamics can be given in terms of a simple vertex function, largely determined by locality, diffeomorphism invariance and local Lorentz invariance. I emphasize the importance of approximations. I list open problems.
15 pages, 5 figures
References in corpus (43)
- Background Independent Quantum Gravity: A Status Report
- LQG vertex with finite Immirzi parameter
- Loop Quantum Cosmology
- A new spinfoam vertex for quantum gravity
- A New Spin Foam Model for 4d Gravity
- The loop-quantum-gravity vertex-amplitude
- Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
- A Lorentzian Signature Model for Quantum General Relativity
- Twisted geometries: A geometric parametrisation of SU(2) phase space
- Flipped spinfoam vertex and loop gravity
- Asymptotic analysis of the EPRL four-simplex amplitude
- Graviton propagator from background-independent quantum gravity
- Loop Quantum Cosmology: An Overview
- A "general boundary" formulation for quantum mechanics and quantum gravity
- Towards Spinfoam Cosmology
- The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
- The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis
- Spin-Foams for All Loop Quantum Gravity
- LQG propagator from the new spin foams
- Complexifier Coherent States for Quantum General Relativity
- Quantum tetrahedra and simplicial spin networks
- General boundary quantum field theory: Foundations and probability interpretation
- Coherent spin-networks
- Geometric quantization and the generalized Segal-Bargmann transform for Lie groups of compact type
- On the geometry of loop quantum gravity on a graph
- Casting Loop Quantum Cosmology in the Spin Foam Paradigm
- The complete LQG propagator: II. Asymptotic behavior of the vertex
- Stepping out of Homogeneity in Loop Quantum Cosmology
- Loop Quantum Cosmology and Spin Foams
- Self-energy and vertex radiative corrections in LQG
- Face amplitude of spinfoam quantum gravity
- Separable Hilbert space in Loop Quantum Gravity
- What is a particle?
- Regularization and finiteness of the Lorentzian LQG vertices
- Gauge-invariant coherent states for Loop Quantum Gravity II: Non-abelian gauge groups
- From lattice BF gauge theory to area-angle Regge calculus
- Spinfoams in the holomorphic representation
- Physical boundary Hilbert space and volume operator in the Lorentzian new spin-foam theory
- LQG propagator: III. The new vertex
- The EPRL intertwiners and corrected partition function
- On the spinfoam expansion in cosmology
- The volume operator in covariant quantum gravity
- A simple background-independent hamiltonian quantum model
Cited by in corpus (30)
- Cosmological and Solar System Consequences of f(R,T) Gravity Models
- Quantum deformation of two four-dimensional spin foam models
- Edge modes of gravity. Part III. Corner simplicity constraints
- Raiders of the lost spacetime
- Integral quantizations with two basic examples
- Multifractional theories: an unconventional review
- Investigation of the Spinfoam Path integral with Quantum Cuboid Intertwiners
- Linking covariant and canonical LQG: new solutions to the Euclidean Scalar Constraint
- Quantum gravity and gravitational-wave astronomy
- Holomorphic Lorentzian Simplicity Constraints
- Quantum Gravity: A Brief History of Ideas and Some Prospects
- Loop Quantum Gravity
- Reduced Loop Quantization with four Klein-Gordon Scalar Fields as Reference Matter
- Towards a Cosmological subsector of Spin Foam Quantum Gravity
- Spin foam models and the Wheeler-DeWitt equation for the quantum 4-simplex
- Operator Spin Foams: holonomy formulation and coarse graining
- Discrete and continuum third quantization of Gravity
- Quantum Cycle in Relativistic Non-Commutative Space with Generalized Uncertainty Principle correction
- BF gravity with Immirzi parameter and matter fields
- Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D
- Quantum gravity and gravitational-wave astronomy
- Solution of the noncanonicity puzzle in General Relativity: a new Hamiltonian formulation
- Braided matter interactions in quantum gravity via 1-handle attachment
- Cosmological states in loop quantum gravity on homogeneous graphs
- Regularized Hamiltonians and Spinfoams
- The kinematical Hilbert space of Loop Quantum Gravity from BF theories
- Foundational Issues in Group Field Theory
- Analog of the Peter-Weyl Expansion for Lorentz Group
- Effective geometry of Bell-network states on a dipole graph
- Operator Ordering in the Relativistic Quantization: Specific Heat in the Rindler Frame