On the Quantization of the Gravitational Field
| dc.creator | Grigore, Dan Radu | |
| dc.date | 1999-05-26 | |
| dc.date.accessioned | 2026-07-07T04:26:31Z | |
| dc.date.available | 2026-07-07T04:26:31Z | |
| dc.description | We present a new point of view on the quantization of the gravitational field, namely we use exclusively the quantum framework of the second quantization. More explicitly, we take as one-particle Hilbert space, $H_{graviton}$ the unitary irreducible representation of the Poincaré group corresponding to a massless particle of helicity 2 and apply the second quantization procedure with Einstein-Bose statistics. The resulting Hilbert space ${\cal F}^{+}(H_{graviton})$ is, by definition, the Hilbert space of the gravitational field. Then we prove that this Hilbert space is canonically isomorphic to a space of the type $Ker(Q)/Im(Q)$ where $Q$ is a supercharge defined in an extension of the Hilbert space ${\cal F}^{+} (H}_{graviton})$ by the inclusion of ghosts: some Fermion ghosts $u_μ, \tilde{u}_μ$ which are vector fields and a Bosonic ghost $Φ$ which is a scalar field. This has to be contrasted to the usual approaches where only the Fermion ghosts are considered. However, a rigorous proof that this is, indeed, possible seems to be lacking from the literature. | |
| dc.description | 32 pages, LATEX2E | |
| dc.identifier | https://arxiv.org/abs/hep-th/9905190 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9905190 | |
| dc.identifier | Class.Quant.Grav. 17 (2000) 319-344 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56078 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the Quantization of the Gravitational Field | |
| dc.type | text |