Semiclassical approximation for Chern-Simons theory and 3-hyperbolic invariants

Citation
Aa. Bytsenko et al., Semiclassical approximation for Chern-Simons theory and 3-hyperbolic invariants, PHYS LETT B, 459(4), 1999, pp. 535-539
Citations number
25
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
459
Issue
4
Year of publication
1999
Pages
535 - 539
Database
ISI
SICI code
0370-2693(19990729)459:4<535:SAFCTA>2.0.ZU;2-C
Abstract
The invariant integration method for Chern-Simons theory defined on the com pact hyperbolic manifold Gamma\H-3 is verified in the semiclassical approxi mation. The semiclassical limit for the partition function is presented. We discuss briefly L-2-analytic torsion and the eta invariant of Atiyah-Patod i-Singer for compact hyperbolic 3-manifolds. (C) 1999 Published by Elsevier Science B.V. All rights reserved.