Gonihedric 3D Ising Actions
| Autor: | Ranasinghe P. K. C. Malmini, Desmond Alexander Johnston |
|---|---|
| Rok vydání: | 1995 |
| Předmět: | |
| DOI: | 10.48550/arxiv.hep-lat/9508026 |
| Popis: | 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. Comment: Latex plus 6 postscript figures bundled together with uufiles. The paper has been completely revised: a judicious choice of boundary conditions now allows the extraction of magnetic critical exponents. All the exponents, and even the critical temperature, appear close to those of the standard two-dimensional Ising model |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|