Central extensions and quantum physics
| dc.creator | Calixto, M. | |
| dc.creator | Aldaya, V. | |
| dc.date | 1999-03-16 | |
| dc.date | 1999-11-03 | |
| dc.date.accessioned | 2026-07-07T04:26:09Z | |
| dc.date.available | 2026-07-07T04:26:09Z | |
| dc.description | The unitary implementation of a symmetry group $G$ of a classical system in the corresponding quantum theory entails unavoidable deformations $\TG$ of $G$, namely, central extensions by the typical phase invariance group U(1). The appearance of central charges in the corresponding Lie-algebra quantum commutators, as a consequence of non-trivial responses of the phase of the wave function under symmetry transformations, lead to a quantum generation of extra degrees of freedom with regard to the classical counterpart. In particular, symmetries of the Hall effect, Yang-Mills and conformally invariant classical field theories are affected when passing to the quantum realm. | |
| dc.description | 20 pages, LaTeX, no figures; added material | |
| dc.identifier | https://arxiv.org/abs/hep-th/9903141 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9903141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55991 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Central extensions and quantum physics | |
| dc.type | text |