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- W2013697262 abstract "We study Z(2) lattice gauge theory on triangulations of compact d-manifolds. We reformulate the theory algebraically, describing it in terms of the structure constants of a bidimensional vector space $mathcal{H}$ equipped with algebra and coalgebra structures, and prove that in the low-temperature limit $mathcal{H}$ reduces to a Hopf algebra, in which case the theory becomes equivalent to a topological field theory. The degeneracy of the ground state is shown to be a topological invariant. This fact is used to compute the zeroth- and first-order terms in the low-temperature expansion of $Z$ for arbitrary triangulations. In finite temperatures, the algebraic reformulation gives rise to new duality relations among classical spin models, related to changes of basis of $mathcal{H}$." @default.
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- W2013697262 date "2007-06-08" @default.
- W2013697262 modified "2023-09-30" @default.
- W2013697262 title "Topological low-temperature limit of Z(2) spin-gauge theory" @default.
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- W2013697262 doi "https://doi.org/10.1103/physrevd.75.125009" @default.
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