Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant

Details Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant

1997-04-04

arxiv.org/abs/hep-th/9704035v2

Nucl.Phys. B505 (1997) 641-659

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 15 pages. Some improvements, grammatical mistakes and typos corrected

Scientific paper

10.1016/S0550-3213(97)00566-X

The Ray-Singer torsion for a compact smooth hyperbolic 3-dimensional manifold ${\cal H}^3$ is expressed in terms of Selberg zeta-functions, making use of the associated Selberg trace formulae. Applications to the evaluation of the semiclassical asymptotics of the Witten's invariant for the Chern-Simons theory with gauge group SU(2) as well as to the sum over topologies in 3-dimensional quantum gravity are presented.

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