Continuum limit in the fermionic hierarchical model

1999 ◽  
Vol 118 (1) ◽  
pp. 32-40 ◽  
Author(s):  
M. D. Missarov
2015 ◽  
Vol 161 (5) ◽  
pp. 1203-1230 ◽  
Author(s):  
Giuseppe Benfatto ◽  
Giovanni Gallavotti ◽  
Ian Jauslin

1992 ◽  
Vol 07 (35) ◽  
pp. 3331-3336 ◽  
Author(s):  
YANNICK MEURICE

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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