Quantum spin dynamics (QSD)
Jun, 199633 pages
Published in:
- Class.Quant.Grav. 15 (1998) 839-873
e-Print:
- gr-qc/9606089 [gr-qc]
Report number:
- HUTMP-96-B-351A
View in:
Citations per year
Abstract: (arXiv)
An anomaly-free operator corresponding to the Wheeler-DeWitt constraint of Lorentzian, four-dimensional, canonical, non-perturbative vacuum gravity is constructed in the continuum. This operator is entirely free of factor ordering singularities and can be defined in symmetric and non-symmetric form. We work in the real connection representation and obtain a well-defined quantum theory. We compute the complete solution to the Quantum Einstein Equations for the non-symmetric version of the operator and a physical inner product thereon. The action of the Wheeler-DeWitt constraint on spin-network states is by annihilating, creating and rerouting the quanta of angular momentum associated with the edges of the underlying graph while the ADM-energy is essentially diagonalized by the spin-network states. We argue that the spin-network representation is the ``non-linear Fock representation" of quantum gravity, thus justifying the term ``Quantum Spin Dynamics (QSD)".- quantum gravity
- Wheeler-DeWitt equation
- Hamiltonian formalism
- constraint: Euclidean
- regularization
- model: spin
- spin: model
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