scholarly journals Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model

2019 ◽  
Vol 2019 (2) ◽  
pp. 023106 ◽  
Author(s):  
P J Forrester ◽  
J H H Perk ◽  
A K Trinh ◽  
N S Witte
Keyword(s):  
Ising Model ◽  
Scaling Function ◽  
Two Dimensional ◽  
The Scaling Function

OFF THE CRITICAL POINT BY PERTURBATION (II): THE ISING MODEL SPIN-SPIN CORRELATOR IN A MAGNETIC FIELD

1990 ◽  
Vol 04 (05) ◽  
pp. 1039-1047 ◽  
Author(s):  
Vl. S. Dotsenko
Keyword(s):  
Magnetic Field ◽  
Correlation Function ◽  
Ising Model ◽  
Scaling Function ◽  
Spin Correlation ◽  
Regularization Technique ◽  
Spin Correlation Function ◽  
Analytic Regularization ◽  
Spin Correlator ◽  
The Scaling Function

An extension of the analytic regularization technique based on the conform 1 theory is suggested for the case of the spin-spin correlation function of the Ising model in a magnetic field, <σ0σR>h=F(t)/(R)1/4, t=hR15/8. Several first terms of the expansion of the scaling function F(t) are given.

scholarly journals Variational approach to the scaling function of the 2D Ising model in a magnetic field

2008 ◽  
Vol 42 (4) ◽  
pp. 042005 ◽  
Author(s):  
Vladimir V Mangazeev ◽  
Murray T Batchelor ◽  
Vladimir V Bazhanov ◽  
Michael Yu Dudalev
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Variational Approach ◽  
Scaling Function ◽  
The Scaling Function
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