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Universality classes of three-dimensional $mn$-vector model

M. Dudka·Yu. Holovatch·T. Yavors'kii
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Abstract

We study the conditions under which the critical behavior of the three-dimensional $mn$-vector model does not belong to the spherically symmetrical universality class. In the calculations we rely on the field-theoretical renormalization group approach in different regularization schemes adjusted by resummation and extended analysis of the series for renormalization-group functions which are known for the model in high orders of perturbation theory. The phase diagram of the three-dimensional $mn$-vector model is built marking out domains in the $mn$-plane where the model belongs to a given universality class.

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M. Dudka, Yu. Holovatch, T. Yavors'kii. 2004-04-08. Universality classes of three-dimensional $mn$-vector model. https://doi.org/10.1088/0305-4470%2F37%2F45%2F002

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