RAY-SINGER TORSION FOR A HYPERBOLIC 3-MANIFOLD AND ASYMPTOTICS OF CHERN-SIMONS-WITTEN INVARIANT

Authors
BYTSENKO AA VANZO L ZERBINI S
Citation
Aa. Bytsenko et al., RAY-SINGER TORSION FOR A HYPERBOLIC 3-MANIFOLD AND ASYMPTOTICS OF CHERN-SIMONS-WITTEN INVARIANT, Nuclear physics. B, 505(3), 1997, pp. 641-659
Citations number
31
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
505
Issue
3
Year of publication
1997
Pages
641 - 659
Database
ISI
SICI code
0550-3213(1997)505:3<641:RTFAH3>2.0.ZU;2-O
Abstract
The Ray-Singer torsion for a compact smooth hyperbolic 3-dimensional m anifold H-3 is expressed in terms of Selberg zeta functions, making us e of the associated Selberg trace formulae. An application to the eval uation of the semiclassical asymptotics of 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. (C) 1997 El sevier Science B.V.