Remarks Concerning Polyakov's Conjecture for the 3D Ising Model and the Hierarchical Approximation

Details Remarks Concerning Polyakov's Conjecture for the 3D Ising Model and the Hierarchical Approximation Remarks Concerning Polyakov's Conjecture for the 3D Ising Model and the Hierarchical Approximation

1992-08-20

arxiv.org/abs/hep-th/9208050v1

Mod.Phys.Lett.A7:3331-3336,1992

Physics

High Energy Physics

High Energy Physics - Theory

7 pp., UIOWA-91-27

Scientific paper

10.1142/S0217732392002718

We consider the possibility of using the hierarchical approximation to understand the continuum limit of a reformulation of the 3D Ising model initiated by Polyakov. We introduce several new formulations of the hierarchical model using dual or fermionic variables. We discuss several aspects of the renormalization group transformation in terms of these new variables. We mention a reformulation of the model closely related to string models proposed by Zabrodin.

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