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arxiv: hep-th/0209019 · v1 · pith:PLHGAJ2Anew · submitted 2002-09-02 · ✦ hep-th · cond-mat

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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