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Ray-Singer Torsion, Topological field theories and the Riemann zeta function at s=3 | | Charles Nash
; Denjoe O’ Connor
; | | Date: |
1 Oct 1992 | | Subject: | High Energy Physics - Theory; Differential Geometry | hep-th math.DG | | Abstract: | 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. | | Source: | arXiv, hep-th/9210005 | | Services: | Forum | Review | PDF | Favorites | |
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