Abstract
We study the problem of "phantom" folding of the two-dimensional square lattice, in which the edges and diagonals of each face can be folded. The nonvanishing thermodynamic folding entropy per face s ≃ .2299(1) is estimated both analytically and numerically, by successively mapping the model onto a dense loop model, a spin model and a new 28 Vertex, 4-color model. Higher-dimensional generalizations are investigated, as well as other foldable lattices.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 507-548 |
| Number of pages | 42 |
| Journal | Nuclear Physics B |
| Volume | 525 |
| Issue number | 3 |
| DOIs | |
| State | Published - Aug 17 1998 |
| Externally published | Yes |
Keywords
- Entropy
- Folding
- Membrane
- Vertex model
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Di Francesco, P. (1998). Folding the square-diagonal lattice. Nuclear Physics B, 525(3), 507-548. https://doi.org/10.1016/S0550-3213(98)00320-4