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Five-loop numerical evaluation of critical exponents of the φ4 theory. / Adzhemyan, L. Ts.; Kompaniets, M. V.

Five-loop numerical evaluation of critical exponents of the φ4 theory. 2014.

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Adzhemyan, LT & Kompaniets, MV 2014, Five-loop numerical evaluation of critical exponents of the φ4 theory. в Five-loop numerical evaluation of critical exponents of the φ4 theory. https://doi.org/10.1088/1742-6596/523/1/012049

APA

Adzhemyan, L. T., & Kompaniets, M. V. (2014). Five-loop numerical evaluation of critical exponents of the φ4 theory. в Five-loop numerical evaluation of critical exponents of the φ4 theory https://doi.org/10.1088/1742-6596/523/1/012049

Vancouver

Adzhemyan LT, Kompaniets MV. Five-loop numerical evaluation of critical exponents of the φ4 theory. в Five-loop numerical evaluation of critical exponents of the φ4 theory. 2014 https://doi.org/10.1088/1742-6596/523/1/012049

Author

Adzhemyan, L. Ts. ; Kompaniets, M. V. / Five-loop numerical evaluation of critical exponents of the φ4 theory. Five-loop numerical evaluation of critical exponents of the φ4 theory. 2014.

BibTeX

@inproceedings{d8b124b497544289a611f0a43eb45caf,
title = "Five-loop numerical evaluation of critical exponents of the φ4 theory",
abstract = "We present a new approach to calculation of anomalous dimensions in the framework of e-expansion and renormalization group method. This approach allows one to skip the calculation of renormalization constants and express anomalous dimensions in terms of renormalized diagrams, which are presented in a form suitable for numerical calculations. This approach can be easily automated and extended to a wide range of models. The power of this approach is illustrated on 5 loop calculations of beta-function and anomalous dimensions in phi^4 model.",
keywords = "renormalization group, critical behavior",
author = "Adzhemyan, {L. Ts.} and Kompaniets, {M. V.}",
year = "2014",
doi = "10.1088/1742-6596/523/1/012049",
language = "English",
booktitle = "Five-loop numerical evaluation of critical exponents of the φ4 theory",

}

RIS

TY - GEN

T1 - Five-loop numerical evaluation of critical exponents of the φ4 theory

AU - Adzhemyan, L. Ts.

AU - Kompaniets, M. V.

PY - 2014

Y1 - 2014

N2 - We present a new approach to calculation of anomalous dimensions in the framework of e-expansion and renormalization group method. This approach allows one to skip the calculation of renormalization constants and express anomalous dimensions in terms of renormalized diagrams, which are presented in a form suitable for numerical calculations. This approach can be easily automated and extended to a wide range of models. The power of this approach is illustrated on 5 loop calculations of beta-function and anomalous dimensions in phi^4 model.

AB - We present a new approach to calculation of anomalous dimensions in the framework of e-expansion and renormalization group method. This approach allows one to skip the calculation of renormalization constants and express anomalous dimensions in terms of renormalized diagrams, which are presented in a form suitable for numerical calculations. This approach can be easily automated and extended to a wide range of models. The power of this approach is illustrated on 5 loop calculations of beta-function and anomalous dimensions in phi^4 model.

KW - renormalization group

KW - critical behavior

U2 - 10.1088/1742-6596/523/1/012049

DO - 10.1088/1742-6596/523/1/012049

M3 - Conference contribution

BT - Five-loop numerical evaluation of critical exponents of the φ4 theory

ER -

ID: 7004808