Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-08-24
Phys.Lett. B378 (1996) 87-96
Physics
High Energy Physics
High Energy Physics - Lattice
Latex plus 6 postscript figures bundled together with uufiles. The paper has been completely revised: a judicious choice of bo
Scientific paper
10.1016/0370-2693(96)00391-7
We investigate a generalized Ising action containing nearest neighbour, next to nearest neighbour and plaquette terms that has been suggested as a potential string worldsheet discretization on cubic lattices by Savvidy and Wegner. We use both mean field techniques and Monte-Carlo simulations to sketch out the phase diagram. The Gonihedric (Savvidy-Wegner) model has a symmetry that allows any plane of spins to be flipped with zero energy cost, which gives a highly degenerate vacuum state. We choose boundary conditions in the simulations that eliminate this degeneracy and allow the definition of a simple ferromagnetic order parameter. This in turn allows us to extract the magnetic critical exponents of the system.
Johnston Dana A.
Malmini Ranasinghe P. K. C.
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