โ Scribed by I.G Enting
No coin nor oath required. For personal study only.
The lattice dependence of a class of gauge-invariant Ising models is investigated. Any lattice dependence would indicate that the lattice could not be regarded as irrelevent and that it would be incorrect to define gauge models on a lattice as a basis for investigating the continuum limit. The models investigated lie within the class of multispin Ising models which show a wide variety of lattice-dependent behaviour and so these models should provide a significant test of the importance of the gauge-invariance constraint. Two and three dimensional models are investigated and lattice independence is confirmed. This indicates that imposing gauge symmetries on lattice models can restrict the possible behaviour in such a way that lattice independent continuum limits can be defined.
๐ SIMILAR VOLUMES
We report on a new numerical computation of the surface tension between domains of opposite magnetisation in the lsing model in two and three dimensions. The method is quite general and can be applied to any statistical-mechanics model. It is based on a partition of the lattice into two halves, whic
A reentrant phase transition in a frustrated Ising model is studied. By the finite-size scaling technique based on the conformal field theory, the universality class of the present phase transition is discussed. Our results suggest that the universality class of the present model is the same as that