REMARKS CONCERNING POLYAKOV’S CONJECTURE FOR THE 3D ISING MODEL AND THE HIERARCHICAL APPROXIMATION

YANNICK Meurice

doi:10.1142/S0217732392002718

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REMARKS CONCERNING POLYAKOV’S CONJECTURE FOR THE 3D ISING MODEL AND THE HIERARCHICAL APPROXIMATION

Journal article

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REMARKS CONCERNING POLYAKOV’S CONJECTURE FOR THE 3D ISING MODEL AND THE HIERARCHICAL APPROXIMATION

YANNICK Meurice

Modern physics letters A, Vol.7(35), pp.3331-3336

11/20/1992

DOI: 10.1142/S0217732392002718

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Abstract

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.

Details

Title: Subtitle: REMARKS CONCERNING POLYAKOV’S CONJECTURE FOR THE 3D ISING MODEL AND THE HIERARCHICAL APPROXIMATION
Creators: YANNICK Meurice - University of Iowa
Resource Type: Journal article
Publication Details: Modern physics letters A, Vol.7(35), pp.3331-3336
DOI: 10.1142/S0217732392002718
ISSN: 0217-7323
eISSN: 1793-6632
Language: English
Date published: 11/20/1992
Academic Unit: Physics and Astronomy
Record Identifier: 9984199937502771

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