In this note we discuss some of the recent remarks on the solvability of Ising problems. These remarks tend to a conclusion that it is likely that some Ising problems, for example that of the simple cubic lattice, are essentially unsolvable. One type of argument relates such problems to the theory of NP-completeness and intractability. Another type of argument is used to shake the belief that a closed expression for the free energy or a simple equation for the transition temperature is possible. We introduce the idea of gauging on an equation and describe how one might yet find a solution.
|Place of Publication||Enschede|
|Publisher||University of Twente|
|Number of pages||21|
|Publication status||Published - Mar 2007|
|Publisher||Department of Applied Mathematics, University of Twente|