Abelian Duality

Details Abelian Duality Abelian Duality

1999-06-18

arxiv.org/abs/hep-th/9906143v2

Phys.Rev. D62 (2000) 045009

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, no figures, a reference added, submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.045009

We show that on three-dimensional Riemannian manifolds without boundaries and with trivial first real de Rham cohomology group (and in no other dimensions) scalar field theory and Maxwell theory are equivalent: the ratio of the partition functions is given by the Ray-Singer torsion of the manifold. On the level of interaction with external currents, the equivalence persists provided there is a fixed relation between the charges and the currents.

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