Gauge fixing and metric independence in topological quantum theories

Abstract

We consider topological gauge theories in three dimensions which are defined by metric independent lagrangians. It has been claimed that the functional integration necessarily depends nontrivially on the gauge-fixing metric. We demonstrate that the partition function and the mean values of the gauge invariant observables do not really depend on the gauge-fixing metric.

15 pages, 2 figures

References in corpus (2)

• Abelian Turaev-Virelizier theorem and $U(1)$ BF surgery formulas
• Nielsen Identity and the Renormalization Group Functions in an Abelian Supersymmetric Chern-Simons Model in the Superfield Formalism