Improved harmonic approximation and the 2D Ising model at $T\neq T_{c}$ and $h\neq0$

Details Improved harmonic approximation and the 2D Ising model at $T\neq T_{c}$ and $h\neq0$ Improved harmonic approximation and the 2D Ising model at $T\neq T_{c}$ and $h\neq0$

2002-09-02

arxiv.org/abs/hep-th/0209019v1

J.Phys.A35:8005-8012,2002

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex, 3 figures. Accepted for publication in Journal of Physics A

Scientific paper

10.1088/0305-4470/35/38/304

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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