Equivalence of the Self-Dual Model and Maxwell-Chern-Simons Theory on Arbitrary Manifolds

Details Equivalence of the Self-Dual Model and Maxwell-Chern-Simons Theory on Arbitrary Manifolds Equivalence of the Self-Dual Model and Maxwell-Chern-Simons Theory on Arbitrary Manifolds

1998-01-07

arxiv.org/abs/hep-th/9801026v3

Phys.Rev. D59 (1999) 065019; Erratum-ibid. D66 (2002) 089902

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, latex, minor extension of the introduction and some comments added, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.089902

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.

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