Regularized Algebraic Nets for General Covariant QFT on Differentiable Manifolds
| dc.creator | Rainer, M. | |
| dc.date | 1997-05-30 | |
| dc.date.accessioned | 2026-07-07T03:31:38Z | |
| dc.date.available | 2026-07-07T03:31:38Z | |
| dc.description | Quantum general relativity may be considered as generally covariant QFT on differentiable manifolds, without any a priori metric structure. The kinematically covariance group acts by general diffeomorphisms on the manifold and by automorphisms on the isotonic net of *-algebras encoding the QFT, while the algebra of observables is covariant under the dynamical subgroup of the general diffeomorphism group. Here, I focus on an algebraic implementation of the dynamical subgroup of dilations. Introducing an small and large scale cutoffs algebraically, their usual a priori conflict with general covariance is avoided. Thereby, a commutant duality between the minimal and maximal algebra is proposed. This allows to extract the modular structure, which is again related to the dilations. | |
| dc.description | 13 pages, LaTeX, rejected by Class. Quant. Grav., revised | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9705084 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9705084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35933 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Regularized Algebraic Nets for General Covariant QFT on Differentiable Manifolds | |
| dc.type | text |