Renormalization Group, hidden symmetries and approximate Ward identities in the XYZ model, II

Details Renormalization Group, hidden symmetries and approximate Ward identities in the XYZ model, II Renormalization Group, hidden symmetries and approximate Ward identities in the XYZ model, II

2000-04-13

arxiv.org/abs/cond-mat/0004228v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

An expansion based on renormalization group methods for the spin correlation function in the z direction of the Heisenberg-Ising XYZ chain with an external magnetic field directed as the z axis is derived. Moreover, by using the hidden symmetries of the model, we show that the running coupling constants are small, if the coupling in the z direction is small enough, that a critical index appearing in the correlation function is exactly vanishing (because of an approximate Ward identity) and other properties, so obtaining a rather detailed description of the XYZ correlation function.

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