A mystery of conformal coupling
| dc.creator | Tagirov, E. A. | |
| dc.date | 2005-01-09 | |
| dc.date | 2005-01-28 | |
| dc.date.accessioned | 2026-07-07T03:29:19Z | |
| dc.date.available | 2026-07-07T03:29:19Z | |
| dc.description | An origin and necessity of so called conformal (or,Penrose-Chernikov-Tagirov) coupling of scalar field to the metric of n-dimensional Riemannian space-time is discussed in brief. The corresponding general-relativistic field equation implies a one-particle (quantum mechanical) Schrodinger Hamiltonian which depends on the space-time dimensionality n, contrary to the Hamiltonian constructed by quantization of geodesic motion, which is the same for any value of n. In general, the Hamiltonians can coincide only for n = 4, the dimensionality of the ordinarily observed Universe. In view of the fundamental role of a scalar field in various cosmological models, this fact may be of interest for models of brane worlds where n > 4 . | |
| dc.description | 4 pages, title changed, minor grammar corrections | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0501026 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0501026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35171 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A mystery of conformal coupling | |
| dc.type | text |