A new version of the self-similarity spin transform on three-dimensional cubic lattices is proposed that makes possible calculation of nontrivial spin correlations in a “combinatorial” model, in which all permitted spin configurations have equal probabilities.

1.
Hietarinta
,
J.
, “
Permutation-type solutions to the Yang-Baxter and other n-simplex equations
,”
J. Phys. A: Math. Gen.
30
,
4757
4771
(
1997
).
2.
Kadanoff
,
L. P.
, “
Scaling laws for Ising models near Tc
,”
Phys. Phys. Fiz.
2
(
6
),
263
272
(
1966
).
3.
Korepanov
,
I. G.
, “
Self-similarity in cubic blocks of R-operators
,”
J. Math. Phys.
64
,
101704
(
2023
); arXiv:2211.08926.
4.
Wilson
,
K. G.
, “
The renormalization group: Critical phenomena and the Kondo problem
,”
Rev. Mod. Phys.
47
(
4
),
773
840
(
1975
).
5.
Zamolodchikov
,
A. B.
, “
Tetrahedra equations and integrable systems in three-dimensional space
,”
Sov. Phys. JETP
52
,
325
336
(
1980
).
You do not currently have access to this content.