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) |
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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