Low temperature expansion for the 3-d Ising Model

Abstract

We compute the weak coupling expansion for the energy of the three dimensional Ising model through 48 excited bonds. We also compute the magnetization through 40 excited bonds. This was achieved via a recursive enumeration of states of fixed energy on a set of finite lattices. We use a linear combination of lattices with a generalization of helical boundary conditions to eliminate finite volume effects.

Comments: 10 pages, IASSNS-HEP-92/42, BNL-47671