Quantized Topological 2-form Gravity
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We develop a perturbation theory of four-dimensional topological 2-form gravity without cosmological constant.
A 2-form and an $SU(2)$ connection 1-form are used as fundamental variables instead of metric.
There is no quantum correction from two-loop and higher orders in covariant gauge, in Landau gauge and in background covariant gauge.
We improve naive dimensional regularization and calculate an exact quantum correction at one-loop order.
We observe that the renormalizability depends on gauge choice in topological 2-form gravity.
It is unrenormalizable in the covariant gauge and in the background covariant gauge.
On the other hand in the Landau gauge, we obtain finite but $SU(2)$ non-covariant quantum corrections.
There may exist anomaly for the $SU(2)$ gauge symmetry.
(Talk given by A. Nakamichi at the Workshop on General Relativity and Gravitation held at Tokyo University, January 17-20,1994.)
10 pages, LaTeX, TIT/HEP-250/COSMO-43
10 pages, LaTeX, TIT/HEP-250/COSMO-43