The critical isotherm of the four-dimensional Ising model
- 1 May 1979
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (5), 743-746
- https://doi.org/10.1088/0305-4470/12/5/020
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.Keywords
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