Matter, Fields, and Reparametrization-Invariant Systems
| dc.creator | Gueorguiev, Vesselin G. | |
| dc.date | 2002-10-10 | |
| dc.date.accessioned | 2026-07-07T04:29:29Z | |
| dc.date.available | 2026-07-07T04:29:29Z | |
| dc.description | We study reparametrization-invariant systems, mainly the relativistic particle and its D-dimensional extended object generalization--d-brane. The corresponding matter Lagrangians naturally contain background interactions, like electromagnetism and gravity. For a d-brane that doesn't alter the background fields, we define non-relativistic equations assuming integral sub-manifold embedding of the d-brane. The mass-shell constraint and the Klein-Gordon equation are shown to be universal when gravity-like interaction is present. Our approach to the Dirac equation follows Rund's technique for the algebra of the $γ$-matrices that doesn't rely on the Klein-Gordon equation. | |
| dc.description | 11 pages, no figures, talk presented at the the 4th Conference on Geometry, Integrability and Quantization in Sts. Constantine and Elena resort (near Varna), Bulgaria, June 6-15, 2002 | |
| dc.identifier | https://arxiv.org/abs/math-ph/0210022 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0210022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57175 | |
| dc.subject | Mathematical Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Matter, Fields, and Reparametrization-Invariant Systems | |
| dc.type | text |