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Renormalization connection between the eight-vertex model and the gaussian model

โœ Scribed by H.J.F Knops

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
915 KB
Volume
128
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

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 are found for various operators along the Baxter line. The relation between the present results and those recently obtained by Kadanoff and Brown is discussed.

๐Ÿ“œ SIMILAR VOLUMES

Partition Function of the Eight-Vertex L
Partition Function of the Eight-Vertex Lattice Model
โœ Rodney J. Baxter ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 269 KB

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

The component connection model and struc
The component connection model and structure preserving model order reduction
โœ O. Wasynczuk; R.A. Decarlo ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 685 KB

This paper uses the component connection model as a setting for model order reduction. The actual reduction occurs on the component level as opposed to the composite system level. A theorem with proof is given relating the component level reduction to the established singular perturbation method. Co