OFFSET
1,1
COMMENTS
Moore defines two four-dimensional lattices called hbcc ("hyper-body-centered-cubic") and hfcc. They have essentially the same arrangement of sites, up to a similarity transformation. (That set of sites forms the D_4 lattice.) However the sets of bonds are different: each site of hfcc is connected to all 24 of its nearest neighbors, while each site of hbcc is connected only to 16 of them, specifically those which have relative position vector (+-1, +-1, +-1, +-1), but not (+-2, 0, 0, 0) or its permutations. - Andrey Zabolotskiy, Nov 26 2024
LINKS
George A. Baker Jr. and John M. Kincaid, The continuous-spin Ising model, g0:phi4:d field theory and the renormalization group. J. Statist. Phys. 24 (1981), no. 3, 469-528. See Eq. (4.27).
M. A. Moore, Critical Behavior of the Four-Dimensional Ising Ferromagnet and the Breakdown of Scaling, Phys. Rev. B 1, 2238-2240 (1970).
CROSSREFS
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
Edited by Andrey Zabolotskiy, Aug 01 2022 and Nov 26 2024
STATUS
approved