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arXiv:1307.1753 · Chinese Physics B

Comment on ‘Mathematical structure of the three-dimensional (3D) Ising model’

Jacques H. H. Perk

Published Aug 1, 2013• 13 citations
arXivHTMLPDF

Abstract

The review paper by Zhang Zhi-Dong (Zhang Z D 2013 Chin. Phys. B 22 030513 , arXiv:1305.2956) contains many errors and is based on several earlier works that are equally wrong.
DOI
10.1088/1674-1056/22/8/080508

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•Jan 1, 2008•0 citations
This is a Response to a recent Comment [F.Y. Wu et al., Phil. Mag. 88, 3093 (2008), also arXiv:0811.3876] on the conjectured solution of the three-dimensional (3D) Ising model [Z.D. Zhang, Phil. Mag. 87, 5309 (2007)]. Several points are made: 1) Conjecture 1, regarding the additional rotation, is understood as performing a transformation for smoothing all the crossings of the knots; 2) The weight factors in Conjecture 2 are interpreted as a novel topologic phase; 3) The conjectured solution and its lowand high-temperature expansions are supported by the mathematical theorems for the analytical behavior of the Ising model. The physics behind the extra dimension is also discussed briefly.