An Exact Closed Formula of a Spin-spin Correlation Function of the Two-Dimensional Ising Model with Finite Size

2015 ◽  
Vol 54 (10) ◽  
pp. 3462-3489 ◽  
Author(s):  
T. Mei
Keyword(s):  
Correlation Function ◽  
Ising Model ◽  
Finite Size ◽  
Spin Correlation ◽  
Two Dimensional ◽  
Closed Formula ◽  
Spin Correlation Function

Calculating the conformal charge from the second moment of the spin–spin correlation function

1993 ◽  
Vol 442 (1915) ◽  
pp. 485-488 ◽  
Keyword(s):  
Correlation Function ◽  
Ising Model ◽  
High Field ◽  
Central Charge ◽  
Spin Correlation ◽  
Two Dimensional ◽  
Extrapolation Methods ◽  
Amplitude Ratios ◽  
Spin Correlation Function ◽  
Second Moment

We develop high field expansions for the second moment of the spin–spin correlation function of the two-dimensional Ising model at arbitrary temperature T . Setting T = T c and approaching the critical point along the field direction, this quantity has a 1/ h 2 , divergence as the external field h goes to zero. The amplitude for this divergence is estimated by series extrapolation methods, and is shown to lead to an estimate for the central charge of 0.50 by using Cardy’s formula for the central charge in terms of hyperuniversal amplitude ratios.

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.

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