Derivation of low-temperature expansions for Ising model. X. The four-dimensional simple hypercubic lattice

Abstract

For Pt.IX see ibid., vol.8, p.1461 (1975). The derivation of high-field expansions for the four-dimensional simple hypercubic lattice is described briefly. The high-field polynomials L_n are given up to L₁₅ together with the complete partial generating functions (codes) up to F₇ which determine the corresponding sub-lattice polynomials. Expansions are given for the zero-field free energy and initial susceptibility in powers of the high-temperature counting variable nu =tanh K up to nu ¹⁷, and combined with the codes these determine the susceptibility and all its field derivatives up to nu ¹⁷.