A numerical calculation of two-dimensional Ising model by modified Kadanoff's renormalization group transformation with two-parameter generating function

1983 ◽  
Vol 2 (5) ◽  
pp. 1305-1310
Author(s):  
Hsing-mei Huang ◽  
Yu Ming Shih
Keyword(s):  
Renormalization Group ◽  
Numerical Calculation ◽  
Ising Model ◽  
Generating Function ◽  
Two Dimensional ◽  
Group Transformation ◽  
Renormalization Group Transformation ◽  
Two Parameter

THE CONTINUUM LIMIT OF TWO-DIMENSIONAL O(3) SIGMA MODEL ON LATTICE AND MASS GAP

1987 ◽  
Vol 02 (02) ◽  
pp. 113-118
Author(s):  
CHI MIN WU ◽  
PEI YING ZHAO
Keyword(s):  
Renormalization Group ◽  
Continuum Limit ◽  
Sigma Model ◽  
Recursion Relation ◽  
Two Dimensional ◽  
Group Transformation ◽  
Renormalization Group Transformation ◽  
Mass Gap ◽  
Β Function ◽  
The Continuum

In this note, we get a recursion relation of β-function for MC renormalization group transformation of O(3) sigma model on lattice. By fitting the MCRG data Δβ(β) of O(3) model, we get the β-function for O(3) model in small and moderate coupling g. Its implication to mass gap is also discussed.

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