Three and Four Dimensions
In three dimensions, the Ising model was shown to have a representation in terms of non-interacting Fermionic lattice strings by Alexander Polyakov. In dimensions near four, the critical behavior of the model is understood to correspond to the renormalization behavior of the scalar phi-4 theory (see Kenneth Wilson).
Read more about this topic: Ising Model
Famous quotes containing the word dimensions:
“It seems to me that we do not know nearly enough about ourselves; that we do not often enough wonder if our lives, or some events and times in our lives, may not be analogues or metaphors or echoes of evolvements and happenings going on in other people?—or animals?—even forests or oceans or rocks?—in this world of ours or, even, in worlds or dimensions elsewhere.”
—Doris Lessing (b. 1919)