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Topological gauge fixing

High Energy Physics - Theory 2014-07-24 v1 Mathematical Physics math.MP

Abstract

We implement the metric-independent Fock-Schwinger gauge in the abelian quantum Chern-Simons field theory defined in R3{\mathbb R}^3. The expressions of the various components of the propagator are determined. Although the gauge field propagator differs from the Gauss linking density, we prove that its integral along two oriented knots is equal to the linking number.

Keywords

Cite

@article{arxiv.1402.3137,
  title  = {Topological gauge fixing},
  author = {Laurent Gallot and Enore Guadagnini and Eric Pilon and Frank Thuillier},
  journal= {arXiv preprint arXiv:1402.3137},
  year   = {2014}
}
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