Semiclassical Approximation for Chern-Simons Theory and 3-Hyperbolic Invariants

Details Semiclassical Approximation for Chern-Simons Theory and 3-Hyperbolic Invariants Semiclassical Approximation for Chern-Simons Theory and 3-Hyperbolic Invariants

1999-06-12

arxiv.org/abs/hep-th/9906092v1

Phys.Lett. B459 (1999) 535-539

Physics

High Energy Physics

High Energy Physics - Theory

7 pages; AMSART

Scientific paper

10.1016/S0370-2693(99)00721-2

The invariant integration method for Chern-Simons theory defined on the
compact hyperbolic manifold {\Gamma}\H^3 is verified in the semiclassical
approximation. The semiclassical limit for the partition function is presented.
We discuss briefly L^2 - analytic torsion and the eta invariant of
Atiyah-Patodi-Singer for compact hyperbolic 3-manifolds.

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