Topology and Duality in Abelian Lattice Theories

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dc.creatorGattringer, C. R.
dc.creatorJaimungal, S.
dc.creatorSemenoff, G. W.
dc.date1997-12-18
dc.date1998-02-26
dc.date.accessioned2026-07-07T11:36:10Z
dc.date.available2026-07-07T11:36:10Z
dc.descriptionWe show how to obtain the dual of any lattice model with inhomogeneous local interactions based on an arbitrary Abelian group in any dimension and on lattices with arbitrary topology. It is shown that in general the dual theory contains disorder loops on the generators of the cohomology group of a particular dimension. An explicit construction for altering the statistical sum to obtain a self-dual theory, when these obstructions exist, is also given. We discuss some applications of these results, particularly the existence of non-trivial self-dual 2-dimensional Z_N theories on the torus. In addition we explicitly construct the n-point functions of plaquette variables for the U(1) gauge theory on the 2-dimensional g-tori.
dc.description11 pages, LateX, 1 epsf figure; minor typos corrected and references updated
dc.identifierhttps://arxiv.org/abs/hep-th/9712173
dc.identifierhttp://arxiv.org/abs/hep-th/9712173
dc.identifierPhys.Lett.B425:282-290,1998
dc.identifierdoi:10.1016/S0370-2693(98)00254-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198831
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.titleTopology and Duality in Abelian Lattice Theories
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