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CRITICAL BEHAVIOR OF THE O(n) φ4 MODEL WITH AN ANTISYMMETRIC TENSOR ORDER PARAMETER: THREE-LOOP APPROXIMATION. / Antonov, N. V.; Kompaniets, M. V.; Lebedev, N. M.

In: Theoretical and Mathematical Physics, Vol. 190, No. 2, 2017, p. 204–216.

Research output: Contribution to journal › Article › peer-review

Harvard

Antonov, NV, Kompaniets, MV & Lebedev, NM 2017, 'CRITICAL BEHAVIOR OF THE O(n) φ4 MODEL WITH AN ANTISYMMETRIC TENSOR ORDER PARAMETER: THREE-LOOP APPROXIMATION', Theoretical and Mathematical Physics, vol. 190, no. 2, pp. 204–216. https://doi.org/10.1134/S0040577917020039

APA

Antonov, N. V., Kompaniets, M. V., & Lebedev, N. M. (2017). CRITICAL BEHAVIOR OF THE O(n) φ4 MODEL WITH AN ANTISYMMETRIC TENSOR ORDER PARAMETER: THREE-LOOP APPROXIMATION. Theoretical and Mathematical Physics, 190(2), 204–216. https://doi.org/10.1134/S0040577917020039

Vancouver

Antonov NV, Kompaniets MV, Lebedev NM. CRITICAL BEHAVIOR OF THE O(n) φ4 MODEL WITH AN ANTISYMMETRIC TENSOR ORDER PARAMETER: THREE-LOOP APPROXIMATION. Theoretical and Mathematical Physics. 2017;190(2):204–216. https://doi.org/10.1134/S0040577917020039

Author

Antonov, N. V. ; Kompaniets, M. V. ; Lebedev, N. M. / CRITICAL BEHAVIOR OF THE O(n) φ4 MODEL WITH AN ANTISYMMETRIC TENSOR ORDER PARAMETER: THREE-LOOP APPROXIMATION. In: Theoretical and Mathematical Physics. 2017 ; Vol. 190, No. 2. pp. 204–216.

BibTeX

@article{45461d3747b349aea00d13230fbd9218,
title = "CRITICAL BEHAVIOR OF THE O(n) φ4 MODEL WITH AN ANTISYMMETRIC TENSOR ORDER PARAMETER: THREE-LOOP APPROXIMATION",
abstract = "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.",
keywords = "Keywords: critical behavior, tensor order parameter, renormalization group",
author = "Antonov, {N. V.} and Kompaniets, {M. V.} and Lebedev, {N. M.}",
year = "2017",
doi = "10.1134/S0040577917020039",
language = "English",
volume = "190",
pages = "204–216",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - CRITICAL BEHAVIOR OF THE O(n) φ4 MODEL WITH AN ANTISYMMETRIC TENSOR ORDER PARAMETER: THREE-LOOP APPROXIMATION

AU - Antonov, N. V.

AU - Kompaniets, M. V.

AU - Lebedev, N. M.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Keywords: critical behavior

KW - tensor order parameter

KW - renormalization group

U2 - 10.1134/S0040577917020039

DO - 10.1134/S0040577917020039

M3 - Article

VL - 190

SP - 204

EP - 216

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 2

ER -

ID: 7739547