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- W1511267135 abstract "The gonihedric Ising Hamiltonians dened in three and higher dimensions by Savvidy and Wegner provide an extensive, and little explored, catalogue of spin models on (hyper)cubic lattices with many interesting features. In three dimensions the = 0 gonihedric Ising model on a cubic lattice has been shown to possess a degenerate lowtemperature phase and a rst order phase transition, as well as interesting dynamical properties. The dual Hamiltonian to this may be written as an anisotropic AshkinTeller model and also has a degenerate low-temperature phase as a result of similar symmetries to the original plaquette action. It is possible to write an alternative dual formulation which utilizes three avours of spins, rather than the two of the Ashkin-Teller model. This still possesses anisotropic couplings, but all the interaction terms are now four spin couplings and it acquires an additional, local gauge symmetry. We investigate this alternative dual Hamiltonian using zero temperature and mean-eld methods together with Monte-Carlo simulations and discuss its properties and the relation to the Ashkin-Teller variant." @default.
- W1511267135 created "2016-06-24" @default.
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- W1511267135 date "2011-06-01" @default.
- W1511267135 modified "2023-09-27" @default.
- W1511267135 title "Another Dual Gonihedric 3D Ising Model" @default.
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