We implement the metric-independent Fock-Schwinger gauge in the quantum Chern-Simons (CS) field theory defined in a three-manifold M which is homeomorphic with R-3. The expressions of 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.
Topological gauge fixing
GUADAGNINI, ENORE;
2014-01-01
Abstract
We implement the metric-independent Fock-Schwinger gauge in the quantum Chern-Simons (CS) field theory defined in a three-manifold M which is homeomorphic with R-3. The expressions of 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.File in questo prodotto:
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