Topological low-temperature limit of Z(2) spin-gauge theory in three dimensions
| dc.creator | Yokomizo, N. | |
| dc.creator | Teotonio-Sobrinho, P. | |
| dc.creator | Barata, J. C. A. | |
| dc.date | 2006-08-25 | |
| dc.date.accessioned | 2026-07-07T11:07:10Z | |
| dc.date.available | 2026-07-07T11:07:10Z | |
| dc.description | We study Z(2) lattice gauge theory on triangulations of a compact 3-manifold. We reformulate the theory algebraically, describing it in terms of the structure constants of a bidimensional vector space H equipped with algebra and coalgebra structures, and prove that in the low-temperature limit 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 H. | |
| dc.description | 10 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0608189 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0608189 | |
| dc.identifier | Phys.Rev.D75:125009,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.75.125009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189753 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Statistical Mechanics | |
| dc.title | Topological low-temperature limit of Z(2) spin-gauge theory in three dimensions | |
| dc.type | text |