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.
REFERENCES
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 -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
).© 2025 Author(s). Published under an exclusive license by AIP Publishing.
2025
Author(s)
You do not currently have access to this content.