Gauge fixing and metric independence in topological quantum theories

Author:

Guadagnini Enore1,Rottoli Federico2,Thuillier Frank3ORCID

Affiliation:

1. Dipartimento di Fisica E. Fermi dell’Università di Pisa, and INFN Sezione di Pisa, Largo B. Pontecorvo 2, 56127 Pisa, Italy

2. SISSA – International School for Advanced Studies, via Bonomea 265, and INFN Sezione di Trieste, Trieste, Italy

3. LAPTh, Université Savoie Mont Blanc, CNRS, Chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux Cedex, France

Abstract

In this paper, 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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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