94-290 Salas, J.

Low--Temperature Series for Renormalized Operators: the Ferromagnetic Square--Lattice Ising Model (66K, LaTeX) Sep 19, 94

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Abstract. A method for computing low--temperature series for renormalized operators in the two--dimensional Ising model is proposed. Series for the renormalized magnetization and nearest--neighbor correlation function are given for the majority rule transformation on $2 \times 2$ blocks and random tie--breaker. These series are applied to the study at very low temperature of the first--order phase transition undergone by this model. We analyze how truncation in the renormalized Hamiltonian leads to spurious discontinuities of the Renormalization Group transformation.

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