Ray-Singer Torsion, Topological field theories and the Riemann zeta function at s=3
| dc.creator | Nash, Charles | |
| dc.creator | Connor, Denjoe O' | |
| dc.date | 1992-10-01 | |
| dc.date.accessioned | 2026-07-07T09:13:58Z | |
| dc.date.available | 2026-07-07T09:13:58Z | |
| dc.description | Starting with topological field theories we investigate the Ray-Singer analytic torsion in three dimensions. For the lens Spaces L(p;q) an explicit analytic continuation of the appropriate zeta functions is contructed and implemented. Among the results obtained are closed formulae for the individual determinants involved, the large $p$ behaviour of the determinants and the torsion, as well as an infinite set of distinct formulae for zeta(3): the ordinary Riemann zeta function evaluated at s=3. The torsion turns out to be trivial for the cases L(6,1), L((10,3) and L(12,5) and is, in general, greater than unity for large p and less than unity for a finite number of p and q. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9210005 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9210005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152509 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.title | Ray-Singer Torsion, Topological field theories and the Riemann zeta function at s=3 | |
| dc.type | text |