Abstract
The critical isotherm of the Ising model for the four-dimensional simple hypercubic lattice is studied using a high-field expansion through mu 15. The series for the magnetisation is analysed for singularities of the asymptotic form E(1- mu )1/3 mod ln(1- mu ) mod p, predicted by renormalisation group theory. Good convergence is obtained for values of p around 1/3 (the renormalisation group prediction) and we estimate p=0.30+or-0.05. Assuming p=1/3, the critical amplitude E is estimated to be 0.896+or-0.02.
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