A generalized version of the Villain model is defined which contains the eight-vertex model as a special case. A renormalization pattern is formulated in terms of this Villain model by which critical line(s) in the eight-vertex model are connected with the Gaussian fixed line. Gaussian equivalents a
Partition Function of the Eight-Vertex Lattice Model
โ Scribed by Rodney J. Baxter
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 269 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0003-4916
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โฆ Synopsis
The partition function of the zero-field ``Eight-Vertex'' model on a square M by N lattice is calculated exactly in the limit of M, N large. This model includes the dimer, ice and zerofield Ising, F and KDP models as special cases. In general the free energy has a branch point singularity at a phase transition, with an irrational exponent.
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