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Antonov, N. V.; Kompaniets, M. V.; Lebedev, N. M.
Theoretical and mathematical physics, 2/2017, Letnik: 190, Številka: 2Journal Article
We consider the critical behavior of the O(n)-symmetric model of the ϕ4 type with an antisymmetric tensor order parameter. According to a previous study of the one-loop approximation in the quantum field theory renormalization group, there is an IR-attractive fixed point in the model, and IR scaling with universal indices hence applies. Using a more specific analysis based on three-loop calculations of the renormalization-group functions and Borel conformal summation, we show that the IR behavior is in fact governed by another fixed point of the renormalization-group equations and the model therefore belongs to a different universality class than the one suggested by the simplest one-loop approximation. Nevertheless, the validity of the obtained results remains a subject for discussion.
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