Folding the square-diagonal lattice

P. Di Francesco

doi:10.1016/S0550-3213(98)00320-4

Folding the square-diagonal lattice

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1016/S0550-3213(98)00320-4
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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10.1016/S0550-3213(98)00320-4

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AB - 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.

KW - Entropy

KW - Folding

KW - Membrane

KW - Vertex model

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JF - Nuclear Physics B

SN - 0550-3213

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Folding the square-diagonal lattice

Abstract

Keywords

ASJC Scopus subject areas

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