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This article is cited in 9 scientific papers (total in 9 papers)
Critical behavior of the $O(n)$ $\phi^4$ model with an antisymmetric tensor order parameter: Three-loop approximation
N. V. Antonov, M. V. Kompaniets, N. M. Lebedev Saint Petersburg State University, St. Petersburg, Russia
Abstract:
We consider the critical behavior of the $O(n)$-symmetric model of the $\phi^4$ 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.
Keywords:
critical behavior, tensor order parameter, renormalization group.
Received: 23.12.2015 Revised: 27.01.2016
Citation:
N. V. Antonov, M. V. Kompaniets, N. M. Lebedev, “Critical behavior of the $O(n)$ $\phi^4$ model with an antisymmetric tensor order parameter: Three-loop approximation”, TMF, 190:2 (2017), 239–253; Theoret. and Math. Phys., 190:2 (2017), 204–216
Linking options:
https://www.mathnet.ru/eng/tmf9130https://doi.org/10.4213/tmf9130 https://www.mathnet.ru/eng/tmf/v190/i2/p239
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Abstract page: | 461 | Full-text PDF : | 233 | References: | 64 | First page: | 22 |
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