Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-24
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
A high temperature expansion is employed to map some complex anisotropic nonhermitian three and four dimensional Ising models with algebraic long range interactions into a solvable two dimensional variant. We also address the dimensional reductions for anisotropic two dimensional XY and other models. For the latter and related systems it is possible to have an effective reduction in the dimension without the need of compactifying some dimensions. Some solutions are presented. This framework further allows for some very simple general observations. It will be seen that the absence of a ``phase interference'' effect plays an important role in high dimensional problems. A very forbidding purely algebraic recursive series solution to the three dimensional nearest neighbor Ising model will be given. In the aftermath, the full-blown three dimensional nearest neighbor Ising model is exactly mapped onto a single spin 1/2 particle with nontrivial dynamics. All this allows for a formal high dimensional Bosonization.
No associations
LandOfFree
An Exact Solution to a Three Dimensional Ising Model and Dimensional Reductions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An Exact Solution to a Three Dimensional Ising Model and Dimensional Reductions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Exact Solution to a Three Dimensional Ising Model and Dimensional Reductions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-284664