Is Loop Quantum Gravity a QFT ?
| dc.creator | Rainer, Martin | |
| dc.date | 1999-12-02 | |
| dc.date | 2000-01-31 | |
| dc.date.accessioned | 2026-07-07T03:33:45Z | |
| dc.date.available | 2026-07-07T03:33:45Z | |
| dc.description | We investigate up to which extend the kinematic setting of loop quantum gravity can be fit into a diffeomorphism invariant setting of algebraic QFT generalizing the Haag-Kastler setting of Wightman type QFT. The net of local (Weyl-)algebras resulting from a spin network state of quantum geometry immediately accommodates isotony and diffeomorphism covariance, and formulation of causality becomes possible via of diffeomorphism invariant foliations of the underlying manifold by cones. On a spatial horizon, quantum geometry becomes asymptotically a genuine QFT with infinitely many degrees of freedom, if the cylinder functions' supporting graphs intersect the inner boundary spheres in an infinite number of punctures. | |
| dc.description | 10 pages, latex & AMS symb., presented at ERE 99 (Bilbao), v2: errors & misprints corrected at beginning/end of sec.2, and in sec. 4 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9912011 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9912011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36698 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Is Loop Quantum Gravity a QFT ? | |
| dc.type | text |