Abstract
We consider the critical behavior of the O(n)-symmetric model of the ϕ 4 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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This research is supported by St. Petersburg State University (Research Grant No. 11.38.185.2014).
The research of N. M. Lebedev is supported by the Russian Foundation for Basic Research (Grant No. 16-32-00086 mol_a) and the Dynasty Foundation.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 190, No. 2, pp. 239–253, February, 2017.
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Antonov, N.V., Kompaniets, M.V. & Lebedev, N.M. Critical behavior of the O(n) ϕ 4 model with an antisymmetric tensor order parameter: Three-loop approximation. Theor Math Phys 190, 204–216 (2017). https://doi.org/10.1134/S0040577917020039
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DOI: https://doi.org/10.1134/S0040577917020039