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

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

2004-04-08

arxiv.org/abs/cond-mat/0404217v1

J. Phys. A: Math. Gen. 37 (2004) 10727-10734

Physics

Condensed Matter

Statistical Mechanics

9 pages, 1 figure

Scientific paper

10.1088/0305-4470/37/45/002

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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