English

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

High Energy Physics - Theory 2009-10-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9906092,
  title  = {Semiclassical Approximation for Chern-Simons Theory and 3-Hyperbolic Invariants},
  author = {A. A. Bytsenko and L. Vanzo and S. Zerbini},
  journal= {arXiv preprint arXiv:hep-th/9906092},
  year   = {2009}
}

Comments

7 pages; AMSART

R2 v1 2026-07-22T16:15:54.723Z