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arXiv · 1402.6941

Topological gauge fixing II: a homotopy formulation

Laurent Gallot·Eric Pilon·Frank Thuillier
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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 Poincar\'e 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.

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Laurent Gallot, Eric Pilon, Frank Thuillier. 2014-02-27. Topological gauge fixing II: a homotopy formulation. https://doi.org/10.1142/s0217732315501023

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