Title

Abelian Duality

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Particles and fields physics

Abstract

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.

DOI

https://doi.org/10.1103/PhysRevD.62.045009

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