Functional integration and abelian link invariants

Details Functional integration and abelian link invariants Functional integration and abelian link invariants

2010-01-26

arxiv.org/abs/1001.4645v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 4 figures, Contribution to the Proceedings of the workshop "Chern-Simons Gauge theory: 20 years after", Bonn, August

Scientific paper

The functional integral computation of the various topological invariants, which are associated with the Chern-Simons field theory, is considered. The standard perturbative setting in quantum field theory is rewieved and new developments in the path-integral approach, based on the Deligne-Beilinson cohomology, are described in the case of the abelian U(1) Chern-Simons field theory formulated in S^1 x S^2.

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