Gauge fixing and metric independence in topological quantum theories
Enore Guadagnini, Federico Rottoli, Frank Thuillier
TL;DR
This paper proves that in three-dimensional topological gauge theories, the partition function and gauge-invariant observables are independent of the gauge-fixing metric, countering previous claims of metric dependence.
Contribution
It demonstrates that the partition function and gauge-invariant observables in 3D topological gauge theories are truly metric-independent, clarifying a debated aspect of these theories.
Findings
Partition function is metric-independent.
Gauge-invariant observables do not depend on gauge-fixing metric.
Counterexample to previous claims of metric dependence.
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.
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