scholarly journals The spin-spin correlation function in the two-dimensional Ising model in a magnetic field at T = Tc

1995 ◽  
Vol 455 (3) ◽  
pp. 724-758 ◽  
Author(s):  
G. Delfino ◽  
G. Mussardo
1990 ◽  
Vol 04 (05) ◽  
pp. 1039-1047 ◽  
Author(s):  
Vl. S. Dotsenko

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.


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.


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