The critical equation of state of the 2D Ising model

M. Caselle, M. Hasenbusch, A. Pelissetto, E. Vicari

Published 2000-11-17, updated 2000-12-04Version 2

We compute the 2n-point coupling constants in the high-temperature phase of the 2d Ising model by using transfer-matrix techniques. This provides the first few terms of the expansion of the effective potential (Helmholtz free energy) and of the equation of state in terms of the renormalized magnetization. By means of a suitable parametric representation, we determine an analytic extension of these expansions, providing the equation of state in the whole critical region in the t,h plane.