arXiv:1209.3592·v1·High Energy Physics — Lattice
The high-temperature expansions of the higher susceptibilities for the Ising model in general dimension d
P. Butera (Dipartimento di Fisica Universita' di Milano-Bicocca and Istituto Nazionale di Fisica Nucleare Sez. di Milano-Bicocca, Milano, Italy, and M. Pernici Istituto Nazionale di Fisica Nucleare Sez. di Milano, Milano, Italy)
Abstract
The high-temperature expansion coefficients of the ordinary and the higher susceptibilities of the spin-1/2 nearest-neighbor Ising model are calculated exactly up to the 20th order for a general d-dimensional (hyper)-simple-cubical lattice. These series are analyzed to study the dependence of critical parameters on the lattice dimensionality. Using the general expression of the ordinary susceptibility, we have more than doubled the length of the existing series expansion of the critical temperature in powers of 1/d.
Comments: 25 pages, no figures