Improved harmonic approximation and the 2D Ising model at Tneq T_(c) and hneq0
classification
✦ hep-th
cond-mat
keywords
modelapproximationharmonicisingapplicationapproximateassociatedaway
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We propose a new method to determine the unknown parameter associated to a self-consistent harmonic approximation. We check the validity of our technique in the context of the sine-Gordon model. As a non trivial application we consider the scaling regime of the 2D Ising model away from the critical point and in the presence of a magnetic field $h$. We derive an expression that relates the approximate correlation length $\xi$, $T-T_c$ and $h$.
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