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REPRESENTATION OF THE beta-FUNCTION AND ANOMALOUS DIMENSIONS BY NONSINGULAR INTEGRALS IN MODELS OF CRITICAL DYNAMICS. / Adzhemyan, L. Ts.; Vorob'eva, S. E.; Kompaniets, M. V.

в: Theoretical and Mathematical Physics, Том 185, № 1, 2015.

Результаты исследований: Научные публикации в периодических изданиях › статья

Harvard

Adzhemyan, LT, Vorob'eva, SE & Kompaniets, MV 2015, 'REPRESENTATION OF THE beta-FUNCTION AND ANOMALOUS DIMENSIONS BY NONSINGULAR INTEGRALS IN MODELS OF CRITICAL DYNAMICS', Theoretical and Mathematical Physics, Том. 185, № 1.

APA

Adzhemyan, L. T., Vorob'eva, S. E., & Kompaniets, M. V. (2015). REPRESENTATION OF THE beta-FUNCTION AND ANOMALOUS DIMENSIONS BY NONSINGULAR INTEGRALS IN MODELS OF CRITICAL DYNAMICS. Theoretical and Mathematical Physics, 185(1).

Vancouver

Adzhemyan LT, Vorob'eva SE, Kompaniets MV. REPRESENTATION OF THE beta-FUNCTION AND ANOMALOUS DIMENSIONS BY NONSINGULAR INTEGRALS IN MODELS OF CRITICAL DYNAMICS. Theoretical and Mathematical Physics. 2015;185(1).

Author

Adzhemyan, L. Ts. ; Vorob'eva, S. E. ; Kompaniets, M. V. / REPRESENTATION OF THE beta-FUNCTION AND ANOMALOUS DIMENSIONS BY NONSINGULAR INTEGRALS IN MODELS OF CRITICAL DYNAMICS. в: Theoretical and Mathematical Physics. 2015 ; Том 185, № 1.

BibTeX

@article{3dc5dbe7acb244a9a6e708c96b77c86b,
title = "REPRESENTATION OF THE beta-FUNCTION AND ANOMALOUS DIMENSIONS BY NONSINGULAR INTEGRALS IN MODELS OF CRITICAL DYNAMICS",
abstract = "We propose a method for calculating the beta-function and anomalous dimensions in critical dynamics models that is convenient for numerical calculations in the framework of the renormalization group and epsilon-expansion. Those quantities are expressed in terms of the renormalized Green's function, which is renormalized using the operation R represented in a form that allows reducing ultraviolet divergences of Feynman diagrams explicitly. The integrals needed for the calculation do not contain poles in epsilon and are convenient for numerical integration.",
author = "Adzhemyan, {L. Ts.} and Vorob'eva, {S. E.} and Kompaniets, {M. V.}",
year = "2015",
language = "English",
volume = "185",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - REPRESENTATION OF THE beta-FUNCTION AND ANOMALOUS DIMENSIONS BY NONSINGULAR INTEGRALS IN MODELS OF CRITICAL DYNAMICS

AU - Adzhemyan, L. Ts.

AU - Vorob'eva, S. E.

AU - Kompaniets, M. V.

PY - 2015

Y1 - 2015

N2 - We propose a method for calculating the beta-function and anomalous dimensions in critical dynamics models that is convenient for numerical calculations in the framework of the renormalization group and epsilon-expansion. Those quantities are expressed in terms of the renormalized Green's function, which is renormalized using the operation R represented in a form that allows reducing ultraviolet divergences of Feynman diagrams explicitly. The integrals needed for the calculation do not contain poles in epsilon and are convenient for numerical integration.

AB - We propose a method for calculating the beta-function and anomalous dimensions in critical dynamics models that is convenient for numerical calculations in the framework of the renormalization group and epsilon-expansion. Those quantities are expressed in terms of the renormalized Green's function, which is renormalized using the operation R represented in a form that allows reducing ultraviolet divergences of Feynman diagrams explicitly. The integrals needed for the calculation do not contain poles in epsilon and are convenient for numerical integration.

M3 - Article

VL - 185

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 4021391