Equivalence of the self-dual model and Maxwell-Chern-Simons theory on arbitrary manifolds

Emil M. Prodanov; Siddhartha Sen

doi:10.1103/PhysRevD.59.065019

Equivalence of the self-dual model and Maxwell-Chern-Simons theory on arbitrary manifolds

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	59
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.59.065019
Publication status	Published - 1999
Externally published	Yes

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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.",

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AB - 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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Equivalence of the self-dual model and Maxwell-Chern-Simons theory on arbitrary manifolds

Abstract

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