scholarly journals Large deviations and continuum limit in the 2D Ising model

1997 ◽  
Vol 109 (4) ◽  
pp. 435-506 ◽  
Author(s):  
C.-E. Pfister ◽  
Y. Velenik
Keyword(s):  
Ising Model ◽  
Large Deviations ◽  
Continuum Limit

Studying the continuum limit of the Ising model

1993 ◽  
Vol 47 (6) ◽  
pp. 2588-2590 ◽  
Author(s):  
Jae-Kwon Kim ◽  
Adrian Patrascioiu
Keyword(s):  
Ising Model ◽  
Continuum Limit ◽  
The Continuum

Fermionic Formulation of the Ising Model

2020 ◽  
pp. 319-340
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Ising Model ◽  
Dirac Equation ◽  
Quadratic Form ◽  
Continuum Limit ◽  
Majorana Fermions ◽  
Bogoliubov Transformation ◽  
Crucial Aspect ◽  
Creation And Annihilation Operators ◽  
Order And Disorder ◽  
The Continuum

A crucial aspect of the Ising model is its fermionic nature and this chapter is devoted to this property of the model. In the continuum limit, a Dirac equation for neutral Majorana fermions emerges. The details of the derivation are much less important than understanding why it is possible. The chapter emphasizes the simplicity and the exactness of the result, and covers the so-called Wigner-Jordan transformation, which brings the original Hamiltonian to a quadratic form in the creation and annihilation operators of the fermions. It covers the role played by the Bogoliubov transformation and the importance of the order and disorder operators.

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

1992 ◽  
Vol 07 (35) ◽  
pp. 3331-3336 ◽  
Author(s):  
YANNICK MEURICE
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Hierarchical Model ◽  
Continuum Limit ◽  
Group Transformation ◽  
New Variables ◽  
String Models ◽  
Hierarchical Approximation ◽  
The Continuum ◽  
3D Ising Model

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.

scholarly journals Large Deviations for the Annealed Ising Model on Inhomogeneous Random Graphs: Spins and Degrees

2018 ◽  
Vol 173 (3-4) ◽  
pp. 1045-1081 ◽  
Author(s):  
Sander Dommers ◽  
Cristian Giardinà ◽  
Claudio Giberti ◽  
Remco van der Hofstad
Keyword(s):  
Ising Model ◽  
Large Deviations ◽  
Random Graphs ◽  
Inhomogeneous Random Graphs

On the critical behaviour of Φd2k from the massive continuum limit of the Ising model

1982 ◽  
Vol 200 (3) ◽  
pp. 498-516 ◽  
Author(s):  
J.P. Ader ◽  
B. Bonnier ◽  
M. Hontebeyrie ◽  
C. Meyers
Keyword(s):  
Ising Model ◽  
Continuum Limit ◽  
Critical Behaviour
Sign in / Sign up

Export Citation Format

Share Document