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Renormalization group for the \(XYZ\) model. (English) Zbl 0966.82007

Summary: A renormalization group analysis of the critical properties of the \(XYZ\) chain in the case of small anisotropy and \(J_3\) is performed. Some critical indices are computed and rigorous bounds on the large distance decay of the two point correlation function are found.

MSC:

82B28 Renormalization group methods in equilibrium statistical mechanics
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics