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Equivalence of the self-dual model and Maxwell-Chern-Simons theory on arbitrary manifolds
Phys. Rev. D 59, 065019 – Published 24 February, 1999Erratum Phys. Rev. D 66, 089902 (2002)
DOI: https://doi.org/10.1103/PhysRevD.59.065019
Abstract
Using a group-invariant version of the Faddeev-Popov method we explicitly obtain the partition functions of the self-dual model and Maxwell-Chern-Simons theory. We show that their ratio coincides with the partition function of Abelian Chern-Simons theory to within a phase factor depending on the geometrical properties of the manifold.
Erratum
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