Topological gauge fixing II: a homotopy formulation

Abstract

We revisit the implementation of the metric-independent Fock-Schwinger gauge in the abelian Chern-Simons field theory defined in ${\mathbb{R}}^3$ by means of a homotopy condition. This leads to the lagrangian $F\wedge hF$ in terms of curvatures $F$ and of the Poincaré homotopy operator $h$. The corresponding field theory provides the same link invariants as the abelian Chern-Simons theory. Incidentally the part of the gauge field propagator which yields the link invariants of the Chern-Simons theory in the Fock-Schwinger gauge is recovered without any computation.

References in corpus (2)

• Higher dimensional abelian Chern-Simons theories and their link invariants
• Topological gauge fixing

Cited by in corpus (2)

• Gauge fixing and metric independence in topological quantum theories
• 3D Topological Models and Heegaard Splitting II: Pontryagin duality and Observables