Chern-Simons Perturbation Theory
| dc.creator | Axelrod, Scott | |
| dc.creator | Singer, I. M. | |
| dc.date | 1991-10-20 | |
| dc.date.accessioned | 2026-07-07T09:13:55Z | |
| dc.date.available | 2026-07-07T09:13:55Z | |
| dc.description | We study the perturbation theory for three dimensional Chern--Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, the action obtained by BRS gauge fixing in the Lorentz gauge has a superspace formulation. The basic properties of the propagator and the Feynman rules are written in a precise manner in the language of differential forms. Using the explicit description of the propagator singularities, we prove that the theory is finite. Finally the anomalous metric dependence of the $2$-loop partition function on the Riemannian metric (which was introduced to define the gauge fixing) can be cancelled by a local counterterm as in the $1$-loop case. In fact, the counterterm is equal to the Chern--Simons action of the metric connection, normalized precisely as one would expect based on the framing dependence of Witten's exact solution. | |
| dc.description | 36 pages. Invited talk at the XXth Conference on Differential Geometric Methods in Physics, New York, June 1991 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9110056 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9110056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152492 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Chern-Simons Perturbation Theory | |
| dc.type | text |