Two-dimensional Ising field theory forT<Tc: String structure of the three-point function

Abstract
We use the recently derived expressions for the n-point functions of the two-dimensional Ising field theory for T<Tc to study the three-point function when the separations between the spins is large. We find that the functional form is different depending on whether or not the three spins are collinear. When the three spins are collinear the asymptotic behavior of the connected three-point function is shown to be independent of the location of the middle spin. We interpret these results in terms of a string of correlation.

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