Basis states for gravitons in non-perturbative loop representation space
| dc.creator | Iwasaki, Junichi | |
| dc.date | 1998-07-06 | |
| dc.date.accessioned | 2026-07-07T03:32:31Z | |
| dc.date.available | 2026-07-07T03:32:31Z | |
| dc.description | A relation between the non-perturbative loop representation space and the semi-classical loop representation space is studied. A sector of (approximate) states and a sector of operators in the non-perturbative loop representation space are made related respectively to the physical states and the basic variables of the semi-classical loop representation space through a transformation. This transformation makes a construction of graviton states within the non-perturbative theory possible although the notion of gravitons originally emerged from semi-classical perturbative treatments. This transformation is ``exact'' in the sense that it does not contain an error term, a fact contrast to the previous construction of a similar transformation. This fact allows the interpretation that these graviton states represent free gravitons even after introducing the self-interaction of gravitons into the theory; the presence of an error term of order of possible perturbative self-interaction would spoil this interpretation. The existence of such an ``exact'' relation of the two theories supports the potential ability of the non-perturbative loop representation quantum gravity to address the physics of gravitons, namely quanta for large scale small fluctuations of gravitational field in the flat background spacetime. | |
| dc.description | Latex, 21 pages, No figure | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9807013 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9807013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36261 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Basis states for gravitons in non-perturbative loop representation space | |
| dc.type | text |