What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution

@article{Viswanathan2022WhatDI,
  title={What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution},
  author={Gandhi M. Viswanathan and Marco Aurelio G. Portillo and Ernesto P. Raposo and M. G. E. da Luz},
  journal={Entropy},
  year={2022},
  volume={24}
}
An exact solution of the Ising model on the simple cubic lattice is one of the long-standing open problems in rigorous statistical mechanics. Indeed, it is generally believed that settling it would constitute a methodological breakthrough, fomenting great prospects for further application, similarly to what happened when Lars Onsager solved the two-dimensional model eighty years ago. Hence, there have been many attempts to find analytic expressions for the exact partition function Z, but all… 

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