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Original Articles

Response to ‘Comment on a recent conjectured solution of the three-dimensional Ising model’

Pages 3097-3101 | Received 20 Aug 2008, Accepted 03 Oct 2008, Published online: 11 Dec 2008
 

Abstract

This is a Response to a recent Comment [F.Y. Wu, B.M. McCoy, M.E. Fisher et al., Phil. Mag. 88 (2008)] 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 low- and 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.

Acknowledgement

The author appreciates the support of the National Natural Science Foundation of China (under grant numbers 50831006, 10674139 and 50331030).

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