Quantum Spin Dynamics (QSD)
| dc.creator | Thiemann, T. | |
| dc.date | 1996-06-29 | |
| dc.date.accessioned | 2026-07-07T11:14:24Z | |
| dc.date.available | 2026-07-07T11:14:24Z | |
| dc.description | 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)". | |
| dc.description | 33 pages, Latex, followed by companion paper after this one | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9606089 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9606089 | |
| dc.identifier | Class.Quant.Grav.15:839-873,1998 | |
| dc.identifier | doi:10.1088/0264-9381/15/4/011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/192054 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Spin Dynamics (QSD) | |
| dc.type | text |